0=x^2+12x+144

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Solution for 0=x^2+12x+144 equation: 


Simplifying
0 = x2 + 12x + 144

Reorder the terms:
0 = 144 + 12x + x2

Solving
0 = 144 + 12x + x2

Solving for variable 'x'.

Combine like terms: 0 + -144 = -144
-144 + -12x + -1x2 = 144 + 12x + x2 + -144 + -12x + -1x2

Reorder the terms:
-144 + -12x + -1x2 = 144 + -144 + 12x + -12x + x2 + -1x2

Combine like terms: 144 + -144 = 0
-144 + -12x + -1x2 = 0 + 12x + -12x + x2 + -1x2
-144 + -12x + -1x2 = 12x + -12x + x2 + -1x2

Combine like terms: 12x + -12x = 0
-144 + -12x + -1x2 = 0 + x2 + -1x2
-144 + -12x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-144 + -12x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(144 + 12x + x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(144 + 12x + x2)' equal to zero and attempt to solve:

Simplifying
144 + 12x + x2 = 0

Solving
144 + 12x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-144' to each side of the equation.
144 + 12x + -144 + x2 = 0 + -144

Reorder the terms:
144 + -144 + 12x + x2 = 0 + -144

Combine like terms: 144 + -144 = 0
0 + 12x + x2 = 0 + -144
12x + x2 = 0 + -144

Combine like terms: 0 + -144 = -144
12x + x2 = -144

The x term is 12x.  Take half its coefficient (6).
Square it (36) and add it to both sides.

Add '36' to each side of the equation.
12x + 36 + x2 = -144 + 36

Reorder the terms:
36 + 12x + x2 = -144 + 36

Combine like terms: -144 + 36 = -108
36 + 12x + x2 = -108

Factor a perfect square on the left side:
(x + 6)(x + 6) = -108

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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