8x^2+8x-17=4-9x

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Solution for 8x^2+8x-17=4-9x equation: 


Simplifying
8x2 + 8x + -17 = 4 + -9x

Reorder the terms:
-17 + 8x + 8x2 = 4 + -9x

Solving
-17 + 8x + 8x2 = 4 + -9x

Solving for variable 'x'.

Reorder the terms:
-17 + -4 + 8x + 9x + 8x2 = 4 + -9x + -4 + 9x

Combine like terms: -17 + -4 = -21
-21 + 8x + 9x + 8x2 = 4 + -9x + -4 + 9x

Combine like terms: 8x + 9x = 17x
-21 + 17x + 8x2 = 4 + -9x + -4 + 9x

Reorder the terms:
-21 + 17x + 8x2 = 4 + -4 + -9x + 9x

Combine like terms: 4 + -4 = 0
-21 + 17x + 8x2 = 0 + -9x + 9x
-21 + 17x + 8x2 = -9x + 9x

Combine like terms: -9x + 9x = 0
-21 + 17x + 8x2 = 0

Factor a trinomial.
(-3 + -1x)(7 + -8x) = 0


Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve:

Simplifying
-3 + -1x = 0

Solving
-3 + -1x = 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 + -1x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 0 + 3
-1x = 0 + 3

Combine like terms: 0 + 3 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3

Subproblem 2
Set the factor '(7 + -8x)' equal to zero and attempt to solve:

Simplifying
7 + -8x = 0

Solving
7 + -8x = 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 + -8x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -8x = 0 + -7
-8x = 0 + -7

Combine like terms: 0 + -7 = -7
-8x = -7

Divide each side by '-8'.
x = 0.875

Simplifying
x = 0.875
Solution
x = {-3, 0.875}

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