144=3x^2+12x+9

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Solution for 144=3x^2+12x+9 equation: 


Simplifying
144 = 3x2 + 12x + 9

Reorder the terms:
144 = 9 + 12x + 3x2

Solving
144 = 9 + 12x + 3x2

Solving for variable 'x'.

Combine like terms: 144 + -9 = 135
135 + -12x + -3x2 = 9 + 12x + 3x2 + -9 + -12x + -3x2

Reorder the terms:
135 + -12x + -3x2 = 9 + -9 + 12x + -12x + 3x2 + -3x2

Combine like terms: 9 + -9 = 0
135 + -12x + -3x2 = 0 + 12x + -12x + 3x2 + -3x2
135 + -12x + -3x2 = 12x + -12x + 3x2 + -3x2

Combine like terms: 12x + -12x = 0
135 + -12x + -3x2 = 0 + 3x2 + -3x2
135 + -12x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
135 + -12x + -3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(45 + -4x + -1x2) = 0

Factor a trinomial.
3((5 + -1x)(9 + x)) = 0

Ignore the factor 3.

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 '(9 + x)' equal to zero and attempt to solve:

Simplifying
9 + x = 0

Solving
9 + x = 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 + x = 0 + -9

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

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

Simplifying
x = -9
Solution
x = {5, -9}

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