-8x^2+6x-52=0

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Solution for -8x^2+6x-52=0 equation: 


Simplifying
-8x2 + 6x + -52 = 0

Reorder the terms:
-52 + 6x + -8x2 = 0

Solving
-52 + 6x + -8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-26 + 3x + -4x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-26 + 3x + -4x2)' equal to zero and attempt to solve:

Simplifying
-26 + 3x + -4x2 = 0

Solving
-26 + 3x + -4x2 = 0

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

Divide each side by '-4'.
6.5 + -0.75x + x2 = 0

Move the constant term to the right:

Add '-6.5' to each side of the equation.
6.5 + -0.75x + -6.5 + x2 = 0 + -6.5

Reorder the terms:
6.5 + -6.5 + -0.75x + x2 = 0 + -6.5

Combine like terms: 6.5 + -6.5 = 0.0
0.0 + -0.75x + x2 = 0 + -6.5
-0.75x + x2 = 0 + -6.5

Combine like terms: 0 + -6.5 = -6.5
-0.75x + x2 = -6.5

The x term is -0.75x.  Take half its coefficient (-0.375).
Square it (0.140625) and add it to both sides.

Add '0.140625' to each side of the equation.
-0.75x + 0.140625 + x2 = -6.5 + 0.140625

Reorder the terms:
0.140625 + -0.75x + x2 = -6.5 + 0.140625

Combine like terms: -6.5 + 0.140625 = -6.359375
0.140625 + -0.75x + x2 = -6.359375

Factor a perfect square on the left side:
(x + -0.375)(x + -0.375) = -6.359375

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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