Question

(x+1)·(x-2)-(x+5)·(x+4)=-2

Answer 1

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Answer 2

To solve the given equation:

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

Let's simplify the equation step by step:

Expanding the terms within the parentheses, we have:

(x^2 - 2x + x - 2) - (x^2 + 4x + 5x + 20) = -2

Combining like terms, we get:

(x^2 - x - 2) - (x^2 + 9x + 20) = -2

Now, distribute the negative sign to the terms inside the second parentheses:

x^2 - x - 2 - x^2 - 9x - 20 = -2

Next, simplify by combining like terms:

x^2 - x^2 - x - 9x - 2 - 20 = -2

Simplifying further:

-10x - 22 = -2

Add 22 to both sides of the equation:

-10x - 22 + 22 = -2 + 22

-10x = 20

Now, divide both sides of the equation by -10:

(-10x)/(-10) = 20/(-10)

x = -2

Therefore, the solution to the equation (x + 1) * (x - 2) - (x + 5) * (x + 4) = -2 is x = -2.