12x^2+40x+360=0

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Solution for 12x^2+40x+360=0 equation: 


Simplifying
12x2 + 40x + 360 = 0

Reorder the terms:
360 + 40x + 12x2 = 0

Solving
360 + 40x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(90 + 10x + 3x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(90 + 10x + 3x2)' equal to zero and attempt to solve:

Simplifying
90 + 10x + 3x2 = 0

Solving
90 + 10x + 3x2 = 0

Begin completing the square.  Divide all terms by
3 the coefficient of the squared term: 

Divide each side by '3'.
30 + 3.333333333x + x2 = 0

Move the constant term to the right:

Add '-30' to each side of the equation.
30 + 3.333333333x + -30 + x2 = 0 + -30

Reorder the terms:
30 + -30 + 3.333333333x + x2 = 0 + -30

Combine like terms: 30 + -30 = 0
0 + 3.333333333x + x2 = 0 + -30
3.333333333x + x2 = 0 + -30

Combine like terms: 0 + -30 = -30
3.333333333x + x2 = -30

The x term is 3.333333333x.  Take half its coefficient (1.666666667).
Square it (2.777777779) and add it to both sides.

Add '2.777777779' to each side of the equation.
3.333333333x + 2.777777779 + x2 = -30 + 2.777777779

Reorder the terms:
2.777777779 + 3.333333333x + x2 = -30 + 2.777777779

Combine like terms: -30 + 2.777777779 = -27.222222221
2.777777779 + 3.333333333x + x2 = -27.222222221

Factor a perfect square on the left side:
(x + 1.666666667)(x + 1.666666667) = -27.222222221

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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