-8x^2-124x-352=-5x^2-79x-184

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Solution for -8x^2-124x-352=-5x^2-79x-184 equation: 


Simplifying
-8x2 + -124x + -352 = -5x2 + -79x + -184

Reorder the terms:
-352 + -124x + -8x2 = -5x2 + -79x + -184

Reorder the terms:
-352 + -124x + -8x2 = -184 + -79x + -5x2

Solving
-352 + -124x + -8x2 = -184 + -79x + -5x2

Solving for variable 'x'.

Reorder the terms:
-352 + 184 + -124x + 79x + -8x2 + 5x2 = -184 + -79x + -5x2 + 184 + 79x + 5x2

Combine like terms: -352 + 184 = -168
-168 + -124x + 79x + -8x2 + 5x2 = -184 + -79x + -5x2 + 184 + 79x + 5x2

Combine like terms: -124x + 79x = -45x
-168 + -45x + -8x2 + 5x2 = -184 + -79x + -5x2 + 184 + 79x + 5x2

Combine like terms: -8x2 + 5x2 = -3x2
-168 + -45x + -3x2 = -184 + -79x + -5x2 + 184 + 79x + 5x2

Reorder the terms:
-168 + -45x + -3x2 = -184 + 184 + -79x + 79x + -5x2 + 5x2

Combine like terms: -184 + 184 = 0
-168 + -45x + -3x2 = 0 + -79x + 79x + -5x2 + 5x2
-168 + -45x + -3x2 = -79x + 79x + -5x2 + 5x2

Combine like terms: -79x + 79x = 0
-168 + -45x + -3x2 = 0 + -5x2 + 5x2
-168 + -45x + -3x2 = -5x2 + 5x2

Combine like terms: -5x2 + 5x2 = 0
-168 + -45x + -3x2 = 0

Factor out the Greatest Common Factor (GCF), '-3'.
-3(56 + 15x + x2) = 0

Factor a trinomial.
-3((8 + x)(7 + x)) = 0

Ignore the factor -3.

Subproblem 1
Set the factor '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 0

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

Add '-8' to each side of the equation.
8 + -8 + x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + x = 0 + -8
x = 0 + -8

Combine like terms: 0 + -8 = -8
x = -8

Simplifying
x = -8

Subproblem 2
Set the factor '(7 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

Solving
7 + x = 0

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

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

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

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

Simplifying
x = -7
Solution
x = {-8, -7}

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