64x^2+80x+34=0

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Solution for 64x^2+80x+34=0 equation: 


Simplifying
64x2 + 80x + 34 = 0

Reorder the terms:
34 + 80x + 64x2 = 0

Solving
34 + 80x + 64x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(17 + 40x + 32x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(17 + 40x + 32x2)' equal to zero and attempt to solve:

Simplifying
17 + 40x + 32x2 = 0

Solving
17 + 40x + 32x2 = 0

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

Divide each side by '32'.
0.53125 + 1.25x + x2 = 0

Move the constant term to the right:

Add '-0.53125' to each side of the equation.
0.53125 + 1.25x + -0.53125 + x2 = 0 + -0.53125

Reorder the terms:
0.53125 + -0.53125 + 1.25x + x2 = 0 + -0.53125

Combine like terms: 0.53125 + -0.53125 = 0.00000
0.00000 + 1.25x + x2 = 0 + -0.53125
1.25x + x2 = 0 + -0.53125

Combine like terms: 0 + -0.53125 = -0.53125
1.25x + x2 = -0.53125

The x term is 1.25x.  Take half its coefficient (0.625).
Square it (0.390625) and add it to both sides.

Add '0.390625' to each side of the equation.
1.25x + 0.390625 + x2 = -0.53125 + 0.390625

Reorder the terms:
0.390625 + 1.25x + x2 = -0.53125 + 0.390625

Combine like terms: -0.53125 + 0.390625 = -0.140625
0.390625 + 1.25x + x2 = -0.140625

Factor a perfect square on the left side:
(x + 0.625)(x + 0.625) = -0.140625

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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