9x^2+20x-19=9-9x

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Solution for 9x^2+20x-19=9-9x equation: 


Simplifying
9x2 + 20x + -19 = 9 + -9x

Reorder the terms:
-19 + 20x + 9x2 = 9 + -9x

Solving
-19 + 20x + 9x2 = 9 + -9x

Solving for variable 'x'.

Reorder the terms:
-19 + -9 + 20x + 9x + 9x2 = 9 + -9x + -9 + 9x

Combine like terms: -19 + -9 = -28
-28 + 20x + 9x + 9x2 = 9 + -9x + -9 + 9x

Combine like terms: 20x + 9x = 29x
-28 + 29x + 9x2 = 9 + -9x + -9 + 9x

Reorder the terms:
-28 + 29x + 9x2 = 9 + -9 + -9x + 9x

Combine like terms: 9 + -9 = 0
-28 + 29x + 9x2 = 0 + -9x + 9x
-28 + 29x + 9x2 = -9x + 9x

Combine like terms: -9x + 9x = 0
-28 + 29x + 9x2 = 0

Factor a trinomial.
(-4 + -1x)(7 + -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 '(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 = {-4, 0.7777777778}

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