-64x^2-24x-14=0

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Solution for -64x^2-24x-14=0 equation: 


Simplifying
-64x2 + -24x + -14 = 0

Reorder the terms:
-14 + -24x + -64x2 = 0

Solving
-14 + -24x + -64x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-2'.
-2(7 + 12x + 32x2) = 0

Ignore the factor -2.

Subproblem 1
Set the factor '(7 + 12x + 32x2)' equal to zero and attempt to solve:

Simplifying
7 + 12x + 32x2 = 0

Solving
7 + 12x + 32x2 = 0

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

Divide each side by '32'.
0.21875 + 0.375x + x2 = 0

Move the constant term to the right:

Add '-0.21875' to each side of the equation.
0.21875 + 0.375x + -0.21875 + x2 = 0 + -0.21875

Reorder the terms:
0.21875 + -0.21875 + 0.375x + x2 = 0 + -0.21875

Combine like terms: 0.21875 + -0.21875 = 0.00000
0.00000 + 0.375x + x2 = 0 + -0.21875
0.375x + x2 = 0 + -0.21875

Combine like terms: 0 + -0.21875 = -0.21875
0.375x + x2 = -0.21875

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 = -0.21875 + 0.03515625

Reorder the terms:
0.03515625 + 0.375x + x2 = -0.21875 + 0.03515625

Combine like terms: -0.21875 + 0.03515625 = -0.18359375
0.03515625 + 0.375x + x2 = -0.18359375

Factor a perfect square on the left side:
(x + 0.1875)(x + 0.1875) = -0.18359375

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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