64x^2-48x+92=0

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Solution for 64x^2-48x+92=0 equation: 


Simplifying
64x2 + -48x + 92 = 0

Reorder the terms:
92 + -48x + 64x2 = 0

Solving
92 + -48x + 64x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(23 + -12x + 16x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(23 + -12x + 16x2)' equal to zero and attempt to solve:

Simplifying
23 + -12x + 16x2 = 0

Solving
23 + -12x + 16x2 = 0

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

Divide each side by '16'.
1.4375 + -0.75x + x2 = 0

Move the constant term to the right:

Add '-1.4375' to each side of the equation.
1.4375 + -0.75x + -1.4375 + x2 = 0 + -1.4375

Reorder the terms:
1.4375 + -1.4375 + -0.75x + x2 = 0 + -1.4375

Combine like terms: 1.4375 + -1.4375 = 0.0000
0.0000 + -0.75x + x2 = 0 + -1.4375
-0.75x + x2 = 0 + -1.4375

Combine like terms: 0 + -1.4375 = -1.4375
-0.75x + x2 = -1.4375

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 = -1.4375 + 0.140625

Reorder the terms:
0.140625 + -0.75x + x2 = -1.4375 + 0.140625

Combine like terms: -1.4375 + 0.140625 = -1.296875
0.140625 + -0.75x + x2 = -1.296875

Factor a perfect square on the left side:
(x + -0.375)(x + -0.375) = -1.296875

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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