-12x^2+33x-30=0

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Solution for -12x^2+33x-30=0 equation: 


Simplifying
-12x2 + 33x + -30 = 0

Reorder the terms:
-30 + 33x + -12x2 = 0

Solving
-30 + 33x + -12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-10 + 11x + -4x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-10 + 11x + -4x2)' equal to zero and attempt to solve:

Simplifying
-10 + 11x + -4x2 = 0

Solving
-10 + 11x + -4x2 = 0

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

Divide each side by '-4'.
2.5 + -2.75x + x2 = 0

Move the constant term to the right:

Add '-2.5' to each side of the equation.
2.5 + -2.75x + -2.5 + x2 = 0 + -2.5

Reorder the terms:
2.5 + -2.5 + -2.75x + x2 = 0 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -2.75x + x2 = 0 + -2.5
-2.75x + x2 = 0 + -2.5

Combine like terms: 0 + -2.5 = -2.5
-2.75x + x2 = -2.5

The x term is -2.75x.  Take half its coefficient (-1.375).
Square it (1.890625) and add it to both sides.

Add '1.890625' to each side of the equation.
-2.75x + 1.890625 + x2 = -2.5 + 1.890625

Reorder the terms:
1.890625 + -2.75x + x2 = -2.5 + 1.890625

Combine like terms: -2.5 + 1.890625 = -0.609375
1.890625 + -2.75x + x2 = -0.609375

Factor a perfect square on the left side:
(x + -1.375)(x + -1.375) = -0.609375

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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