-12x^2-6x+7=155

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Solution for -12x^2-6x+7=155 equation: 


Simplifying
-12x2 + -6x + 7 = 155

Reorder the terms:
7 + -6x + -12x2 = 155

Solving
7 + -6x + -12x2 = 155

Solving for variable 'x'.

Reorder the terms:
7 + -155 + -6x + -12x2 = 155 + -155

Combine like terms: 7 + -155 = -148
-148 + -6x + -12x2 = 155 + -155

Combine like terms: 155 + -155 = 0
-148 + -6x + -12x2 = 0

Factor out the Greatest Common Factor (GCF), '-2'.
-2(74 + 3x + 6x2) = 0

Ignore the factor -2.

Subproblem 1
Set the factor '(74 + 3x + 6x2)' equal to zero and attempt to solve:

Simplifying
74 + 3x + 6x2 = 0

Solving
74 + 3x + 6x2 = 0

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

Divide each side by '6'.
12.33333333 + 0.5x + x2 = 0

Move the constant term to the right:

Add '-12.33333333' to each side of the equation.
12.33333333 + 0.5x + -12.33333333 + x2 = 0 + -12.33333333

Reorder the terms:
12.33333333 + -12.33333333 + 0.5x + x2 = 0 + -12.33333333

Combine like terms: 12.33333333 + -12.33333333 = 0.00000000
0.00000000 + 0.5x + x2 = 0 + -12.33333333
0.5x + x2 = 0 + -12.33333333

Combine like terms: 0 + -12.33333333 = -12.33333333
0.5x + x2 = -12.33333333

The x term is 0.5x.  Take half its coefficient (0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
0.5x + 0.0625 + x2 = -12.33333333 + 0.0625

Reorder the terms:
0.0625 + 0.5x + x2 = -12.33333333 + 0.0625

Combine like terms: -12.33333333 + 0.0625 = -12.27083333
0.0625 + 0.5x + x2 = -12.27083333

Factor a perfect square on the left side:
(x + 0.25)(x + 0.25) = -12.27083333

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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