(x-8)(x+18)=(x-12)(x-12)+34x-288

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Solution for (x-8)(x+18)=(x-12)(x-12)+34x-288 equation: 


Simplifying
(x + -8)(x + 18) = (x + -12)(x + -12) + 34x + -288

Reorder the terms:
(-8 + x)(x + 18) = (x + -12)(x + -12) + 34x + -288

Reorder the terms:
(-8 + x)(18 + x) = (x + -12)(x + -12) + 34x + -288

Multiply (-8 + x) * (18 + x)
(-8(18 + x) + x(18 + x)) = (x + -12)(x + -12) + 34x + -288
((18 * -8 + x * -8) + x(18 + x)) = (x + -12)(x + -12) + 34x + -288
((-144 + -8x) + x(18 + x)) = (x + -12)(x + -12) + 34x + -288
(-144 + -8x + (18 * x + x * x)) = (x + -12)(x + -12) + 34x + -288
(-144 + -8x + (18x + x2)) = (x + -12)(x + -12) + 34x + -288

Combine like terms: -8x + 18x = 10x
(-144 + 10x + x2) = (x + -12)(x + -12) + 34x + -288

Reorder the terms:
-144 + 10x + x2 = (-12 + x)(x + -12) + 34x + -288

Reorder the terms:
-144 + 10x + x2 = (-12 + x)(-12 + x) + 34x + -288

Multiply (-12 + x) * (-12 + x)
-144 + 10x + x2 = (-12(-12 + x) + x(-12 + x)) + 34x + -288
-144 + 10x + x2 = ((-12 * -12 + x * -12) + x(-12 + x)) + 34x + -288
-144 + 10x + x2 = ((144 + -12x) + x(-12 + x)) + 34x + -288
-144 + 10x + x2 = (144 + -12x + (-12 * x + x * x)) + 34x + -288
-144 + 10x + x2 = (144 + -12x + (-12x + x2)) + 34x + -288

Combine like terms: -12x + -12x = -24x
-144 + 10x + x2 = (144 + -24x + x2) + 34x + -288

Reorder the terms:
-144 + 10x + x2 = 144 + -288 + -24x + 34x + x2

Combine like terms: 144 + -288 = -144
-144 + 10x + x2 = -144 + -24x + 34x + x2

Combine like terms: -24x + 34x = 10x
-144 + 10x + x2 = -144 + 10x + x2

Add '144' to each side of the equation.
-144 + 10x + 144 + x2 = -144 + 10x + 144 + x2

Reorder the terms:
-144 + 144 + 10x + x2 = -144 + 10x + 144 + x2

Combine like terms: -144 + 144 = 0
0 + 10x + x2 = -144 + 10x + 144 + x2
10x + x2 = -144 + 10x + 144 + x2

Reorder the terms:
10x + x2 = -144 + 144 + 10x + x2

Combine like terms: -144 + 144 = 0
10x + x2 = 0 + 10x + x2
10x + x2 = 10x + x2

Add '-10x' to each side of the equation.
10x + -10x + x2 = 10x + -10x + x2

Combine like terms: 10x + -10x = 0
0 + x2 = 10x + -10x + x2
x2 = 10x + -10x + x2

Combine like terms: 10x + -10x = 0
x2 = 0 + x2
x2 = x2

Add '-1x2' to each side of the equation.
x2 + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
0 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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