12x*x+12x=-9

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Solution for 12x*x+12x=-9 equation: 


Simplifying
12x * x + 12x = -9

Multiply x * x
12x2 + 12x = -9

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

Solving
12x + 12x2 = -9

Solving for variable 'x'.

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

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

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

Ignore the factor 3.

Subproblem 1
Set the factor '(3 + 4x + 4x2)' equal to zero and attempt to solve:

Simplifying
3 + 4x + 4x2 = 0

Solving
3 + 4x + 4x2 = 0

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

Divide each side by '4'.
0.75 + x + x2 = 0

Move the constant term to the right:

Add '-0.75' to each side of the equation.
0.75 + x + -0.75 + x2 = 0 + -0.75

Reorder the terms:
0.75 + -0.75 + x + x2 = 0 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + x + x2 = 0 + -0.75
x + x2 = 0 + -0.75

Combine like terms: 0 + -0.75 = -0.75
x + x2 = -0.75

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
 + 0.25 + x2 = -0.75 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + x2 = -0.75 + 0.25

Combine like terms: -0.75 + 0.25 = -0.5
1.25 + x2 = -0.5

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -0.5

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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