6x^2+6x+5=x^2-2x+5

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Solution for 6x^2+6x+5=x^2-2x+5 equation: 


Simplifying
6x2 + 6x + 5 = x2 + -2x + 5

Reorder the terms:
5 + 6x + 6x2 = x2 + -2x + 5

Reorder the terms:
5 + 6x + 6x2 = 5 + -2x + x2

Add '-5' to each side of the equation.
5 + 6x + -5 + 6x2 = 5 + -2x + -5 + x2

Reorder the terms:
5 + -5 + 6x + 6x2 = 5 + -2x + -5 + x2

Combine like terms: 5 + -5 = 0
0 + 6x + 6x2 = 5 + -2x + -5 + x2
6x + 6x2 = 5 + -2x + -5 + x2

Reorder the terms:
6x + 6x2 = 5 + -5 + -2x + x2

Combine like terms: 5 + -5 = 0
6x + 6x2 = 0 + -2x + x2
6x + 6x2 = -2x + x2

Solving
6x + 6x2 = -2x + x2

Solving for variable 'x'.

Reorder the terms:
6x + 2x + 6x2 + -1x2 = -2x + x2 + 2x + -1x2

Combine like terms: 6x + 2x = 8x
8x + 6x2 + -1x2 = -2x + x2 + 2x + -1x2

Combine like terms: 6x2 + -1x2 = 5x2
8x + 5x2 = -2x + x2 + 2x + -1x2

Reorder the terms:
8x + 5x2 = -2x + 2x + x2 + -1x2

Combine like terms: -2x + 2x = 0
8x + 5x2 = 0 + x2 + -1x2
8x + 5x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
8x + 5x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(8 + 5x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(8 + 5x)' equal to zero and attempt to solve:

Simplifying
8 + 5x = 0

Solving
8 + 5x = 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 + 5x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 5x = 0 + -8
5x = 0 + -8

Combine like terms: 0 + -8 = -8
5x = -8

Divide each side by '5'.
x = -1.6

Simplifying
x = -1.6
Solution
x = {0, -1.6}

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