0=x^2+12x+240

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Solution for 0=x^2+12x+240 equation: 


Simplifying
0 = x2 + 12x + 240

Reorder the terms:
0 = 240 + 12x + x2

Solving
0 = 240 + 12x + x2

Solving for variable 'x'.

Combine like terms: 0 + -240 = -240
-240 + -12x + -1x2 = 240 + 12x + x2 + -240 + -12x + -1x2

Reorder the terms:
-240 + -12x + -1x2 = 240 + -240 + 12x + -12x + x2 + -1x2

Combine like terms: 240 + -240 = 0
-240 + -12x + -1x2 = 0 + 12x + -12x + x2 + -1x2
-240 + -12x + -1x2 = 12x + -12x + x2 + -1x2

Combine like terms: 12x + -12x = 0
-240 + -12x + -1x2 = 0 + x2 + -1x2
-240 + -12x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-240 + -12x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(240 + 12x + x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(240 + 12x + x2)' equal to zero and attempt to solve:

Simplifying
240 + 12x + x2 = 0

Solving
240 + 12x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-240' to each side of the equation.
240 + 12x + -240 + x2 = 0 + -240

Reorder the terms:
240 + -240 + 12x + x2 = 0 + -240

Combine like terms: 240 + -240 = 0
0 + 12x + x2 = 0 + -240
12x + x2 = 0 + -240

Combine like terms: 0 + -240 = -240
12x + x2 = -240

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 = -240 + 36

Reorder the terms:
36 + 12x + x2 = -240 + 36

Combine like terms: -240 + 36 = -204
36 + 12x + x2 = -204

Factor a perfect square on the left side:
(x + 6)(x + 6) = -204

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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