(12x+7)(12x-7)=(12x-9)(12x-9)+86

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Solution for (12x+7)(12x-7)=(12x-9)(12x-9)+86 equation: 


Simplifying
(12x + 7)(12x + -7) = (12x + -9)(12x + -9) + 86

Reorder the terms:
(7 + 12x)(12x + -7) = (12x + -9)(12x + -9) + 86

Reorder the terms:
(7 + 12x)(-7 + 12x) = (12x + -9)(12x + -9) + 86

Multiply (7 + 12x) * (-7 + 12x)
(7(-7 + 12x) + 12x * (-7 + 12x)) = (12x + -9)(12x + -9) + 86
((-7 * 7 + 12x * 7) + 12x * (-7 + 12x)) = (12x + -9)(12x + -9) + 86
((-49 + 84x) + 12x * (-7 + 12x)) = (12x + -9)(12x + -9) + 86
(-49 + 84x + (-7 * 12x + 12x * 12x)) = (12x + -9)(12x + -9) + 86
(-49 + 84x + (-84x + 144x2)) = (12x + -9)(12x + -9) + 86

Combine like terms: 84x + -84x = 0
(-49 + 0 + 144x2) = (12x + -9)(12x + -9) + 86
(-49 + 144x2) = (12x + -9)(12x + -9) + 86

Reorder the terms:
-49 + 144x2 = (-9 + 12x)(12x + -9) + 86

Reorder the terms:
-49 + 144x2 = (-9 + 12x)(-9 + 12x) + 86

Multiply (-9 + 12x) * (-9 + 12x)
-49 + 144x2 = (-9(-9 + 12x) + 12x * (-9 + 12x)) + 86
-49 + 144x2 = ((-9 * -9 + 12x * -9) + 12x * (-9 + 12x)) + 86
-49 + 144x2 = ((81 + -108x) + 12x * (-9 + 12x)) + 86
-49 + 144x2 = (81 + -108x + (-9 * 12x + 12x * 12x)) + 86
-49 + 144x2 = (81 + -108x + (-108x + 144x2)) + 86

Combine like terms: -108x + -108x = -216x
-49 + 144x2 = (81 + -216x + 144x2) + 86

Reorder the terms:
-49 + 144x2 = 81 + 86 + -216x + 144x2

Combine like terms: 81 + 86 = 167
-49 + 144x2 = 167 + -216x + 144x2

Add '-144x2' to each side of the equation.
-49 + 144x2 + -144x2 = 167 + -216x + 144x2 + -144x2

Combine like terms: 144x2 + -144x2 = 0
-49 + 0 = 167 + -216x + 144x2 + -144x2
-49 = 167 + -216x + 144x2 + -144x2

Combine like terms: 144x2 + -144x2 = 0
-49 = 167 + -216x + 0
-49 = 167 + -216x

Solving
-49 = 167 + -216x

Solving for variable 'x'.

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

Add '216x' to each side of the equation.
-49 + 216x = 167 + -216x + 216x

Combine like terms: -216x + 216x = 0
-49 + 216x = 167 + 0
-49 + 216x = 167

Add '49' to each side of the equation.
-49 + 49 + 216x = 167 + 49

Combine like terms: -49 + 49 = 0
0 + 216x = 167 + 49
216x = 167 + 49

Combine like terms: 167 + 49 = 216
216x = 216

Divide each side by '216'.
x = 1

Simplifying
x = 1

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