Calculation Result
Example Equations
Recent Equation History
Favorite formulas
Formula Used
Equation rearrangement applies inverse operations to both sides. Every legal operation must preserve equality and valid domains. The target variable becomes isolated after expressions are simplified carefully.
How to Use This Calculator
- Enter one equation containing an equality sign.
- Detect variables and choose the required subject.
- Add known values when a numerical answer is needed.
- Select assumptions, precision, and preferred number format.
- Press Calculate to view solutions, steps, and restrictions.
- Copy, print, or export the completed calculation.
Worked Examples
| Original equation | Target | Rearranged result |
|---|---|---|
| F = m*a | m | m = F/a |
| A = pi*r^2 | r | r = ±sqrt(A/pi) |
| P = 2*(l+w) | w | w = P/2-l |
| 1/f = 1/u+1/v | v | v = f*u/(u-f) |
Common Algebra Mistakes
Do not change only one side of an equation. Avoid cancelling terms across addition without a common factor. Always review denominators, roots, logarithms, and introduced solution branches carefully.
Frequently Asked Questions
What does rearranging an equation mean?
It means making one selected variable the subject. The calculator applies equivalent operations to both sides. This preserves the original mathematical relationship during every rearrangement step.
Can the calculator isolate any variable?
It handles many common algebraic and scientific formulas. Some implicit or highly complex equations may resist isolation. In those cases, numerical solving can still provide useful results.
Does it show multiple solutions?
Yes, powers and roots may produce several valid branches. The result panel lists each solution returned. Domain notes explain when additional restrictions affect those solutions.
Can I substitute known values?
Yes, detected variables receive optional value and unit fields. Enter values after choosing the target variable. The calculator then evaluates every available rearranged solution numerically.
Are units converted automatically?
Units are checked for obvious family conflicts. Values are not silently converted inside arbitrary formulas. Convert inputs first whenever a formula requires consistent measurement units.
How are equivalent equations verified?
The calculator simplifies the difference between both equation forms. It also tests several safe numerical substitutions. A zero difference strongly supports equivalence under stated restrictions.
Does it support logarithms and trigonometry?
Common logarithmic, exponential, and trigonometric syntax is supported. Use log, ln, sin, cos, and tan. Some inverse or periodic solutions may need manual domain review.
Why can a rearrangement introduce restrictions?
Division can exclude values making a denominator zero. Roots and logarithms also impose domain requirements. The calculator lists likely restrictions beside the final rearranged formula.
Is my equation stored online?
The page performs algebra directly inside your browser. Recent equations use local browser storage only. Clearing history removes those saved entries from the current device.