(x+8)2+12(x+8)+32=0

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Solution for (x+8)2+12(x+8)+32=0 equation:


Simplifying
(x + 8) * 2 + 12(x + 8) + 32 = 0

Reorder the terms:
(8 + x) * 2 + 12(x + 8) + 32 = 0

Reorder the terms for easier multiplication:
2(8 + x) + 12(x + 8) + 32 = 0
(8 * 2 + x * 2) + 12(x + 8) + 32 = 0
(16 + 2x) + 12(x + 8) + 32 = 0

Reorder the terms:
16 + 2x + 12(8 + x) + 32 = 0
16 + 2x + (8 * 12 + x * 12) + 32 = 0
16 + 2x + (96 + 12x) + 32 = 0

Reorder the terms:
16 + 96 + 32 + 2x + 12x = 0

Combine like terms: 16 + 96 = 112
112 + 32 + 2x + 12x = 0

Combine like terms: 112 + 32 = 144
144 + 2x + 12x = 0

Combine like terms: 2x + 12x = 14x
144 + 14x = 0

Solving
144 + 14x = 0

Solving for variable 'x'.

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

Add '-144' to each side of the equation.
144 + -144 + 14x = 0 + -144

Combine like terms: 144 + -144 = 0
0 + 14x = 0 + -144
14x = 0 + -144

Combine like terms: 0 + -144 = -144
14x = -144

Divide each side by '14'.
x = -10.28571429

Simplifying
x = -10.28571429

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