Equation Rearranger Calculator

Published on: October 17, 2024
Final Answer: Free • Full Steps: Plus

This Equation Rearranger Calculator helps you rearrange equations to make a chosen variable the subject. Move terms from one side to the other using inverse operations, while keeping the equation balanced at every step. Simplify the result until the required variable is isolated. It is a simple way to check answers, understand equation rearrangement, and practise basic algebra step by step.

Step-by-step method

  1. Identify the equation and the variable to isolate.
  2. Rearrange by doing the same operation to both sides until the variable is isolated.

Example 1:

\(y = c + mx, \;\; \text{solve for } c\)

Step 1 - Identify the equation and the variable to isolate.

In this problem: We will isolate \(c\).

\(y = c + mx\)

Step 2 - Rearrange by doing the same operation to both sides until the variable is isolated.

In this problem: Start from the same equation.

\(y = c + mx\)

Step 2a - Rearrange by doing the same operation to both sides until the variable is isolated.

In this problem: Swap sides so the variable is on the left side.

\(c + mx = y\)

Step 2b - Rearrange by doing the same operation to both sides until the variable is isolated.

In this problem: Subtract \(mx\) on both sides.

\(c + mx - mx = y - mx\)

Step 2c - Rearrange by doing the same operation to both sides until the variable is isolated.

In this problem: Simplify.

\(c = y - mx\)

Final answer:

\(c = y - mx\)

Example 2:

\(v = u + at, \;\; \text{solve for } t\)

Step 1 - Identify the equation and the variable to isolate.

In this problem: We will isolate \(t\).

\(v = u + at\)

Step 2 - Rearrange by doing the same operation to both sides until the variable is isolated.

In this problem: Start from the same equation.

\(v = u + at\)

Step 2a - Rearrange by doing the same operation to both sides until the variable is isolated.

In this problem: Swap sides so the variable is on the left side.

\(u + at = v\)

Step 2b - Rearrange by doing the same operation to both sides until the variable is isolated.

In this problem: Subtract \(u\) on both sides.

\(u + at - u = v - u\)

Step 2c - Rearrange by doing the same operation to both sides until the variable is isolated.

In this problem: Simplify.

\(at = v - u\)

Step 2d - Rearrange by doing the same operation to both sides until the variable is isolated.

In this problem: Divide both sides by \(a\).

\(at / a = (v - u) / a\)

Step 2e - Rearrange by doing the same operation to both sides until the variable is isolated.

In this problem: Simplify.

\(t = v/a - u/a\)

Final answer:

\(t = v/a - u/a\)