(x-2)(x+1)=(x-1)(x+3) Solve

less than a minute read Jun 17, 2024
(x-2)(x+1)=(x-1)(x+3) Solve

Solving the Equation: (x-2)(x+1) = (x-1)(x+3)

This equation involves expanding brackets, simplifying, and then solving for x. Here's a step-by-step solution:

1. Expand the Brackets

  • Left side: (x-2)(x+1) = x² - x - 2
  • Right side: (x-1)(x+3) = x² + 2x - 3

2. Simplify the Equation

Now the equation looks like this: x² - x - 2 = x² + 2x - 3

3. Isolate the x Terms

Subtract x² from both sides: -x - 2 = 2x - 3

4. Combine Like Terms

Add x to both sides: -2 = 3x - 3

Add 3 to both sides: 1 = 3x

5. Solve for x

Divide both sides by 3: x = 1/3

Solution

Therefore, the solution to the equation (x-2)(x+1) = (x-1)(x+3) is x = 1/3.

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