5x^2+9x-12=23-9x

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Solution for 5x^2+9x-12=23-9x equation: 


Simplifying
5x2 + 9x + -12 = 23 + -9x

Reorder the terms:
-12 + 9x + 5x2 = 23 + -9x

Solving
-12 + 9x + 5x2 = 23 + -9x

Solving for variable 'x'.

Reorder the terms:
-12 + -23 + 9x + 9x + 5x2 = 23 + -9x + -23 + 9x

Combine like terms: -12 + -23 = -35
-35 + 9x + 9x + 5x2 = 23 + -9x + -23 + 9x

Combine like terms: 9x + 9x = 18x
-35 + 18x + 5x2 = 23 + -9x + -23 + 9x

Reorder the terms:
-35 + 18x + 5x2 = 23 + -23 + -9x + 9x

Combine like terms: 23 + -23 = 0
-35 + 18x + 5x2 = 0 + -9x + 9x
-35 + 18x + 5x2 = -9x + 9x

Combine like terms: -9x + 9x = 0
-35 + 18x + 5x2 = 0

Factor a trinomial.
(-5 + -1x)(7 + -5x) = 0


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

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 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 + -1x = 0 + 5

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

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

Divide each side by '-1'.
x = -5

Simplifying
x = -5

Subproblem 2
Set the factor '(7 + -5x)' equal to zero and attempt to solve:

Simplifying
7 + -5x = 0

Solving
7 + -5x = 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 + -5x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -5x = 0 + -7
-5x = 0 + -7

Combine like terms: 0 + -7 = -7
-5x = -7

Divide each side by '-5'.
x = 1.4

Simplifying
x = 1.4
Solution
x = {-5, 1.4}

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