(x+1)(x+2)-(x+2)(x+8)=0

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Solution for (x+1)(x+2)-(x+2)(x+8)=0 equation: 


Simplifying
(x + 1)(x + 2) + -1(x + 2)(x + 8) = 0

Reorder the terms:
(1 + x)(x + 2) + -1(x + 2)(x + 8) = 0

Reorder the terms:
(1 + x)(2 + x) + -1(x + 2)(x + 8) = 0

Multiply (1 + x) * (2 + x)
(1(2 + x) + x(2 + x)) + -1(x + 2)(x + 8) = 0
((2 * 1 + x * 1) + x(2 + x)) + -1(x + 2)(x + 8) = 0
((2 + 1x) + x(2 + x)) + -1(x + 2)(x + 8) = 0
(2 + 1x + (2 * x + x * x)) + -1(x + 2)(x + 8) = 0
(2 + 1x + (2x + x2)) + -1(x + 2)(x + 8) = 0

Combine like terms: 1x + 2x = 3x
(2 + 3x + x2) + -1(x + 2)(x + 8) = 0

Reorder the terms:
2 + 3x + x2 + -1(2 + x)(x + 8) = 0

Reorder the terms:
2 + 3x + x2 + -1(2 + x)(8 + x) = 0

Multiply (2 + x) * (8 + x)
2 + 3x + x2 + -1(2(8 + x) + x(8 + x)) = 0
2 + 3x + x2 + -1((8 * 2 + x * 2) + x(8 + x)) = 0
2 + 3x + x2 + -1((16 + 2x) + x(8 + x)) = 0
2 + 3x + x2 + -1(16 + 2x + (8 * x + x * x)) = 0
2 + 3x + x2 + -1(16 + 2x + (8x + x2)) = 0

Combine like terms: 2x + 8x = 10x
2 + 3x + x2 + -1(16 + 10x + x2) = 0
2 + 3x + x2 + (16 * -1 + 10x * -1 + x2 * -1) = 0
2 + 3x + x2 + (-16 + -10x + -1x2) = 0

Reorder the terms:
2 + -16 + 3x + -10x + x2 + -1x2 = 0

Combine like terms: 2 + -16 = -14
-14 + 3x + -10x + x2 + -1x2 = 0

Combine like terms: 3x + -10x = -7x
-14 + -7x + x2 + -1x2 = 0

Combine like terms: x2 + -1x2 = 0
-14 + -7x + 0 = 0
-14 + -7x = 0

Solving
-14 + -7x = 0

Solving for variable 'x'.

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

Add '14' to each side of the equation.
-14 + 14 + -7x = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -7x = 0 + 14
-7x = 0 + 14

Combine like terms: 0 + 14 = 14
-7x = 14

Divide each side by '-7'.
x = -2

Simplifying
x = -2

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