9x^2+8x-8=6-3x

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Solution for 9x^2+8x-8=6-3x equation: 


Simplifying
9x2 + 8x + -8 = 6 + -3x

Reorder the terms:
-8 + 8x + 9x2 = 6 + -3x

Solving
-8 + 8x + 9x2 = 6 + -3x

Solving for variable 'x'.

Reorder the terms:
-8 + -6 + 8x + 3x + 9x2 = 6 + -3x + -6 + 3x

Combine like terms: -8 + -6 = -14
-14 + 8x + 3x + 9x2 = 6 + -3x + -6 + 3x

Combine like terms: 8x + 3x = 11x
-14 + 11x + 9x2 = 6 + -3x + -6 + 3x

Reorder the terms:
-14 + 11x + 9x2 = 6 + -6 + -3x + 3x

Combine like terms: 6 + -6 = 0
-14 + 11x + 9x2 = 0 + -3x + 3x
-14 + 11x + 9x2 = -3x + 3x

Combine like terms: -3x + 3x = 0
-14 + 11x + 9x2 = 0

Factor a trinomial.
(-2 + -1x)(7 + -9x) = 0


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

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

Subproblem 2
Set the factor '(7 + -9x)' equal to zero and attempt to solve:

Simplifying
7 + -9x = 0

Solving
7 + -9x = 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 + -9x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -9x = 0 + -7
-9x = 0 + -7

Combine like terms: 0 + -7 = -7
-9x = -7

Divide each side by '-9'.
x = 0.7777777778

Simplifying
x = 0.7777777778
Solution
x = {-2, 0.7777777778}

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