9x^2+20x-23=9-8x

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Solution for 9x^2+20x-23=9-8x equation: 


Simplifying
9x2 + 20x + -23 = 9 + -8x

Reorder the terms:
-23 + 20x + 9x2 = 9 + -8x

Solving
-23 + 20x + 9x2 = 9 + -8x

Solving for variable 'x'.

Reorder the terms:
-23 + -9 + 20x + 8x + 9x2 = 9 + -8x + -9 + 8x

Combine like terms: -23 + -9 = -32
-32 + 20x + 8x + 9x2 = 9 + -8x + -9 + 8x

Combine like terms: 20x + 8x = 28x
-32 + 28x + 9x2 = 9 + -8x + -9 + 8x

Reorder the terms:
-32 + 28x + 9x2 = 9 + -9 + -8x + 8x

Combine like terms: 9 + -9 = 0
-32 + 28x + 9x2 = 0 + -8x + 8x
-32 + 28x + 9x2 = -8x + 8x

Combine like terms: -8x + 8x = 0
-32 + 28x + 9x2 = 0

Factor a trinomial.
(-4 + -1x)(8 + -9x) = 0


Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve:

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

Subproblem 2
Set the factor '(8 + -9x)' equal to zero and attempt to solve:

Simplifying
8 + -9x = 0

Solving
8 + -9x = 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 + -9x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -9x = 0 + -8
-9x = 0 + -8

Combine like terms: 0 + -8 = -8
-9x = -8

Divide each side by '-9'.
x = 0.8888888889

Simplifying
x = 0.8888888889
Solution
x = {-4, 0.8888888889}

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