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

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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 values of x that satisfy the equation.

Expanding the Equation

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 the two expressions:

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

Simplifying the Equation

Let's simplify the equation by combining like terms:

-x - 2 = 2x - 3

3x = 1

x = 1/3

Therefore, the value of x that satisfies the equation is x = 1/3.

Conclusion

In this article, we solved the equation (x-2)(x+1) = (x-1)(x+3) and found that the value of x that satisfies the equation is x = 1/3.