3x*x+18x+23=2x*x+12x+14

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Solution for 3x*x+18x+23=2x*x+12x+14 equation: 


Simplifying
3x * x + 18x + 23 = 2x * x + 12x + 14

Multiply x * x
3x2 + 18x + 23 = 2x * x + 12x + 14

Reorder the terms:
23 + 18x + 3x2 = 2x * x + 12x + 14

Multiply x * x
23 + 18x + 3x2 = 2x2 + 12x + 14

Reorder the terms:
23 + 18x + 3x2 = 14 + 12x + 2x2

Solving
23 + 18x + 3x2 = 14 + 12x + 2x2

Solving for variable 'x'.

Reorder the terms:
23 + -14 + 18x + -12x + 3x2 + -2x2 = 14 + 12x + 2x2 + -14 + -12x + -2x2

Combine like terms: 23 + -14 = 9
9 + 18x + -12x + 3x2 + -2x2 = 14 + 12x + 2x2 + -14 + -12x + -2x2

Combine like terms: 18x + -12x = 6x
9 + 6x + 3x2 + -2x2 = 14 + 12x + 2x2 + -14 + -12x + -2x2

Combine like terms: 3x2 + -2x2 = 1x2
9 + 6x + 1x2 = 14 + 12x + 2x2 + -14 + -12x + -2x2

Reorder the terms:
9 + 6x + 1x2 = 14 + -14 + 12x + -12x + 2x2 + -2x2

Combine like terms: 14 + -14 = 0
9 + 6x + 1x2 = 0 + 12x + -12x + 2x2 + -2x2
9 + 6x + 1x2 = 12x + -12x + 2x2 + -2x2

Combine like terms: 12x + -12x = 0
9 + 6x + 1x2 = 0 + 2x2 + -2x2
9 + 6x + 1x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
9 + 6x + 1x2 = 0

Factor a trinomial.
(3 + x)(3 + x) = 0


Subproblem 1
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

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

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

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

Simplifying
x = -3

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

Simplifying
3 + x = 0

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

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

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

Simplifying
x = -3
Solution
x = {-3, -3}

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