12x^2-36x+387=0

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Solution for 12x^2-36x+387=0 equation: 


Simplifying
12x2 + -36x + 387 = 0

Reorder the terms:
387 + -36x + 12x2 = 0

Solving
387 + -36x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(129 + -12x + 4x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(129 + -12x + 4x2)' equal to zero and attempt to solve:

Simplifying
129 + -12x + 4x2 = 0

Solving
129 + -12x + 4x2 = 0

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

Divide each side by '4'.
32.25 + -3x + x2 = 0

Move the constant term to the right:

Add '-32.25' to each side of the equation.
32.25 + -3x + -32.25 + x2 = 0 + -32.25

Reorder the terms:
32.25 + -32.25 + -3x + x2 = 0 + -32.25

Combine like terms: 32.25 + -32.25 = 0.00
0.00 + -3x + x2 = 0 + -32.25
-3x + x2 = 0 + -32.25

Combine like terms: 0 + -32.25 = -32.25
-3x + x2 = -32.25

The x term is -3x.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3x + 2.25 + x2 = -32.25 + 2.25

Reorder the terms:
2.25 + -3x + x2 = -32.25 + 2.25

Combine like terms: -32.25 + 2.25 = -30
2.25 + -3x + x2 = -30

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = -30

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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