8x^2+8x-5=10-6x

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Solution for 8x^2+8x-5=10-6x equation: 


Simplifying
8x2 + 8x + -5 = 10 + -6x

Reorder the terms:
-5 + 8x + 8x2 = 10 + -6x

Solving
-5 + 8x + 8x2 = 10 + -6x

Solving for variable 'x'.

Reorder the terms:
-5 + -10 + 8x + 6x + 8x2 = 10 + -6x + -10 + 6x

Combine like terms: -5 + -10 = -15
-15 + 8x + 6x + 8x2 = 10 + -6x + -10 + 6x

Combine like terms: 8x + 6x = 14x
-15 + 14x + 8x2 = 10 + -6x + -10 + 6x

Reorder the terms:
-15 + 14x + 8x2 = 10 + -10 + -6x + 6x

Combine like terms: 10 + -10 = 0
-15 + 14x + 8x2 = 0 + -6x + 6x
-15 + 14x + 8x2 = -6x + 6x

Combine like terms: -6x + 6x = 0
-15 + 14x + 8x2 = 0

Factor a trinomial.
(-5 + -2x)(3 + -4x) = 0


Subproblem 1
Set the factor '(-5 + -2x)' equal to zero and attempt to solve:

Simplifying
-5 + -2x = 0

Solving
-5 + -2x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -2x = 0 + 5

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

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

Divide each side by '-2'.
x = -2.5

Simplifying
x = -2.5

Subproblem 2
Set the factor '(3 + -4x)' equal to zero and attempt to solve:

Simplifying
3 + -4x = 0

Solving
3 + -4x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -4x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4x = 0 + -3
-4x = 0 + -3

Combine like terms: 0 + -3 = -3
-4x = -3

Divide each side by '-4'.
x = 0.75

Simplifying
x = 0.75
Solution
x = {-2.5, 0.75}

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