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

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Jun 07, 2024

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

In this article, we will solve the equation (x-2)(x+1) = (x-1)(x+3) and find the solutions.

Expanding the Equations

Let's start by expanding both sides of the equation:

(x-2)(x+1) = x^2 - x - 2

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

Now, we can equate both expressions:

x^2 - x - 2 = x^2 + 2x - 3

Simplifying the Equation

To solve for x, we can add x and subtract 3 from both sides of the equation:

-x - 5 = 0

x = -5

Therefore, the solution to the equation (x-2)(x+1) = (x-1)(x+3) is x = -5.

Conclusion

In conclusion, we have successfully solved the equation (x-2)(x+1) = (x-1)(x+3) and found that the solution is x = -5.