2x^2+3x+9=20x-12

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Solution for 2x^2+3x+9=20x-12 equation: 


Simplifying
2x2 + 3x + 9 = 20x + -12

Reorder the terms:
9 + 3x + 2x2 = 20x + -12

Reorder the terms:
9 + 3x + 2x2 = -12 + 20x

Solving
9 + 3x + 2x2 = -12 + 20x

Solving for variable 'x'.

Reorder the terms:
9 + 12 + 3x + -20x + 2x2 = -12 + 20x + 12 + -20x

Combine like terms: 9 + 12 = 21
21 + 3x + -20x + 2x2 = -12 + 20x + 12 + -20x

Combine like terms: 3x + -20x = -17x
21 + -17x + 2x2 = -12 + 20x + 12 + -20x

Reorder the terms:
21 + -17x + 2x2 = -12 + 12 + 20x + -20x

Combine like terms: -12 + 12 = 0
21 + -17x + 2x2 = 0 + 20x + -20x
21 + -17x + 2x2 = 20x + -20x

Combine like terms: 20x + -20x = 0
21 + -17x + 2x2 = 0

Factor a trinomial.
(3 + -2x)(7 + -1x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 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 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {1.5, 7}

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