2x^2+12x-19=8-3x

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Solution for 2x^2+12x-19=8-3x equation: 


Simplifying
2x2 + 12x + -19 = 8 + -3x

Reorder the terms:
-19 + 12x + 2x2 = 8 + -3x

Solving
-19 + 12x + 2x2 = 8 + -3x

Solving for variable 'x'.

Reorder the terms:
-19 + -8 + 12x + 3x + 2x2 = 8 + -3x + -8 + 3x

Combine like terms: -19 + -8 = -27
-27 + 12x + 3x + 2x2 = 8 + -3x + -8 + 3x

Combine like terms: 12x + 3x = 15x
-27 + 15x + 2x2 = 8 + -3x + -8 + 3x

Reorder the terms:
-27 + 15x + 2x2 = 8 + -8 + -3x + 3x

Combine like terms: 8 + -8 = 0
-27 + 15x + 2x2 = 0 + -3x + 3x
-27 + 15x + 2x2 = -3x + 3x

Combine like terms: -3x + 3x = 0
-27 + 15x + 2x2 = 0

Factor a trinomial.
(-9 + -1x)(3 + -2x) = 0


Subproblem 1
Set the factor '(-9 + -1x)' equal to zero and attempt to solve:

Simplifying
-9 + -1x = 0

Solving
-9 + -1x = 0

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

Add '9' to each side of the equation.
-9 + 9 + -1x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1x = 0 + 9
-1x = 0 + 9

Combine like terms: 0 + 9 = 9
-1x = 9

Divide each side by '-1'.
x = -9

Simplifying
x = -9

Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve:

Simplifying
3 + -2x = 0

Solving
3 + -2x = 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 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5
Solution
x = {-9, 1.5}

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