-64x^2-16x-9=0

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Solution for -64x^2-16x-9=0 equation: 


Simplifying
-64x2 + -16x + -9 = 0

Reorder the terms:
-9 + -16x + -64x2 = 0

Solving
-9 + -16x + -64x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(9 + 16x + 64x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(9 + 16x + 64x2)' equal to zero and attempt to solve:

Simplifying
9 + 16x + 64x2 = 0

Solving
9 + 16x + 64x2 = 0

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

Divide each side by '64'.
0.140625 + 0.25x + x2 = 0

Move the constant term to the right:

Add '-0.140625' to each side of the equation.
0.140625 + 0.25x + -0.140625 + x2 = 0 + -0.140625

Reorder the terms:
0.140625 + -0.140625 + 0.25x + x2 = 0 + -0.140625

Combine like terms: 0.140625 + -0.140625 = 0.000000
0.000000 + 0.25x + x2 = 0 + -0.140625
0.25x + x2 = 0 + -0.140625

Combine like terms: 0 + -0.140625 = -0.140625
0.25x + x2 = -0.140625

The x term is 0.25x.  Take half its coefficient (0.125).
Square it (0.015625) and add it to both sides.

Add '0.015625' to each side of the equation.
0.25x + 0.015625 + x2 = -0.140625 + 0.015625

Reorder the terms:
0.015625 + 0.25x + x2 = -0.140625 + 0.015625

Combine like terms: -0.140625 + 0.015625 = -0.125
0.015625 + 0.25x + x2 = -0.125

Factor a perfect square on the left side:
(x + 0.125)(x + 0.125) = -0.125

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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