(x-2)(x+2)+(x+4)(x-1)-(2x+7)(x+3)=-9

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Solution for (x-2)(x+2)+(x+4)(x-1)-(2x+7)(x+3)=-9 equation: 


Simplifying
(x + -2)(x + 2) + (x + 4)(x + -1) + -1(2x + 7)(x + 3) = -9

Reorder the terms:
(-2 + x)(x + 2) + (x + 4)(x + -1) + -1(2x + 7)(x + 3) = -9

Reorder the terms:
(-2 + x)(2 + x) + (x + 4)(x + -1) + -1(2x + 7)(x + 3) = -9

Multiply (-2 + x) * (2 + x)
(-2(2 + x) + x(2 + x)) + (x + 4)(x + -1) + -1(2x + 7)(x + 3) = -9
((2 * -2 + x * -2) + x(2 + x)) + (x + 4)(x + -1) + -1(2x + 7)(x + 3) = -9
((-4 + -2x) + x(2 + x)) + (x + 4)(x + -1) + -1(2x + 7)(x + 3) = -9
(-4 + -2x + (2 * x + x * x)) + (x + 4)(x + -1) + -1(2x + 7)(x + 3) = -9
(-4 + -2x + (2x + x2)) + (x + 4)(x + -1) + -1(2x + 7)(x + 3) = -9

Combine like terms: -2x + 2x = 0
(-4 + 0 + x2) + (x + 4)(x + -1) + -1(2x + 7)(x + 3) = -9
(-4 + x2) + (x + 4)(x + -1) + -1(2x + 7)(x + 3) = -9

Reorder the terms:
-4 + x2 + (4 + x)(x + -1) + -1(2x + 7)(x + 3) = -9

Reorder the terms:
-4 + x2 + (4 + x)(-1 + x) + -1(2x + 7)(x + 3) = -9

Multiply (4 + x) * (-1 + x)
-4 + x2 + (4(-1 + x) + x(-1 + x)) + -1(2x + 7)(x + 3) = -9
-4 + x2 + ((-1 * 4 + x * 4) + x(-1 + x)) + -1(2x + 7)(x + 3) = -9
-4 + x2 + ((-4 + 4x) + x(-1 + x)) + -1(2x + 7)(x + 3) = -9
-4 + x2 + (-4 + 4x + (-1 * x + x * x)) + -1(2x + 7)(x + 3) = -9
-4 + x2 + (-4 + 4x + (-1x + x2)) + -1(2x + 7)(x + 3) = -9

Combine like terms: 4x + -1x = 3x
-4 + x2 + (-4 + 3x + x2) + -1(2x + 7)(x + 3) = -9

Reorder the terms:
-4 + x2 + -4 + 3x + x2 + -1(7 + 2x)(x + 3) = -9

Reorder the terms:
-4 + x2 + -4 + 3x + x2 + -1(7 + 2x)(3 + x) = -9

Multiply (7 + 2x) * (3 + x)
-4 + x2 + -4 + 3x + x2 + -1(7(3 + x) + 2x * (3 + x)) = -9
-4 + x2 + -4 + 3x + x2 + -1((3 * 7 + x * 7) + 2x * (3 + x)) = -9
-4 + x2 + -4 + 3x + x2 + -1((21 + 7x) + 2x * (3 + x)) = -9
-4 + x2 + -4 + 3x + x2 + -1(21 + 7x + (3 * 2x + x * 2x)) = -9
-4 + x2 + -4 + 3x + x2 + -1(21 + 7x + (6x + 2x2)) = -9

Combine like terms: 7x + 6x = 13x
-4 + x2 + -4 + 3x + x2 + -1(21 + 13x + 2x2) = -9
-4 + x2 + -4 + 3x + x2 + (21 * -1 + 13x * -1 + 2x2 * -1) = -9
-4 + x2 + -4 + 3x + x2 + (-21 + -13x + -2x2) = -9

Reorder the terms:
-4 + -4 + -21 + 3x + -13x + x2 + x2 + -2x2 = -9

Combine like terms: -4 + -4 = -8
-8 + -21 + 3x + -13x + x2 + x2 + -2x2 = -9

Combine like terms: -8 + -21 = -29
-29 + 3x + -13x + x2 + x2 + -2x2 = -9

Combine like terms: 3x + -13x = -10x
-29 + -10x + x2 + x2 + -2x2 = -9

Combine like terms: x2 + x2 = 2x2
-29 + -10x + 2x2 + -2x2 = -9

Combine like terms: 2x2 + -2x2 = 0
-29 + -10x + 0 = -9
-29 + -10x = -9

Solving
-29 + -10x = -9

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '29' to each side of the equation.
-29 + 29 + -10x = -9 + 29

Combine like terms: -29 + 29 = 0
0 + -10x = -9 + 29
-10x = -9 + 29

Combine like terms: -9 + 29 = 20
-10x = 20

Divide each side by '-10'.
x = -2

Simplifying
x = -2

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