-16x^2+6x-52=0

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Solution for -16x^2+6x-52=0 equation: 


Simplifying
-16x2 + 6x + -52 = 0

Reorder the terms:
-52 + 6x + -16x2 = 0

Solving
-52 + 6x + -16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-26 + 3x + -8x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-26 + 3x + -8x2)' equal to zero and attempt to solve:

Simplifying
-26 + 3x + -8x2 = 0

Solving
-26 + 3x + -8x2 = 0

Begin completing the square.  Divide all terms by
-8 the coefficient of the squared term: 

Divide each side by '-8'.
3.25 + -0.375x + x2 = 0

Move the constant term to the right:

Add '-3.25' to each side of the equation.
3.25 + -0.375x + -3.25 + x2 = 0 + -3.25

Reorder the terms:
3.25 + -3.25 + -0.375x + x2 = 0 + -3.25

Combine like terms: 3.25 + -3.25 = 0.00
0.00 + -0.375x + x2 = 0 + -3.25
-0.375x + x2 = 0 + -3.25

Combine like terms: 0 + -3.25 = -3.25
-0.375x + x2 = -3.25

The x term is -0.375x.  Take half its coefficient (-0.1875).
Square it (0.03515625) and add it to both sides.

Add '0.03515625' to each side of the equation.
-0.375x + 0.03515625 + x2 = -3.25 + 0.03515625

Reorder the terms:
0.03515625 + -0.375x + x2 = -3.25 + 0.03515625

Combine like terms: -3.25 + 0.03515625 = -3.21484375
0.03515625 + -0.375x + x2 = -3.21484375

Factor a perfect square on the left side:
(x + -0.1875)(x + -0.1875) = -3.21484375

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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