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(x-1)(x+5)=x^2+4x-2

less than a minute read Jun 17, 2024
(x-1)(x+5)=x^2+4x-2

Solving the Equation (x-1)(x+5) = x^2 + 4x - 2

This article will guide you through the process of solving the equation (x-1)(x+5) = x^2 + 4x - 2.

Expanding and Simplifying

First, we need to expand the left side of the equation by multiplying the factors:

  • (x-1)(x+5) = x^2 + 5x - x - 5
  • (x-1)(x+5) = x^2 + 4x - 5

Now the equation becomes: x^2 + 4x - 5 = x^2 + 4x - 2

Solving for x

Notice that both sides of the equation have the same terms x^2 and 4x. Subtracting these terms from both sides results in:

  • -5 = -2

This is a contradiction, as -5 is not equal to -2.

Conclusion

Therefore, the equation (x-1)(x+5) = x^2 + 4x - 2 has no solution. There is no value of x that can satisfy the equation.

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