12x^2+56x+480=0

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Solution for 12x^2+56x+480=0 equation: 


Simplifying
12x2 + 56x + 480 = 0

Reorder the terms:
480 + 56x + 12x2 = 0

Solving
480 + 56x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(120 + 14x + 3x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(120 + 14x + 3x2)' equal to zero and attempt to solve:

Simplifying
120 + 14x + 3x2 = 0

Solving
120 + 14x + 3x2 = 0

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

Divide each side by '3'.
40 + 4.666666667x + x2 = 0

Move the constant term to the right:

Add '-40' to each side of the equation.
40 + 4.666666667x + -40 + x2 = 0 + -40

Reorder the terms:
40 + -40 + 4.666666667x + x2 = 0 + -40

Combine like terms: 40 + -40 = 0
0 + 4.666666667x + x2 = 0 + -40
4.666666667x + x2 = 0 + -40

Combine like terms: 0 + -40 = -40
4.666666667x + x2 = -40

The x term is 4.666666667x.  Take half its coefficient (2.333333334).
Square it (5.444444448) and add it to both sides.

Add '5.444444448' to each side of the equation.
4.666666667x + 5.444444448 + x2 = -40 + 5.444444448

Reorder the terms:
5.444444448 + 4.666666667x + x2 = -40 + 5.444444448

Combine like terms: -40 + 5.444444448 = -34.555555552
5.444444448 + 4.666666667x + x2 = -34.555555552

Factor a perfect square on the left side:
(x + 2.333333334)(x + 2.333333334) = -34.555555552

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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