-14x^2+32x-64=0

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Solution for -14x^2+32x-64=0 equation: 


Simplifying
-14x2 + 32x + -64 = 0

Reorder the terms:
-64 + 32x + -14x2 = 0

Solving
-64 + 32x + -14x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-32 + 16x + -7x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-32 + 16x + -7x2)' equal to zero and attempt to solve:

Simplifying
-32 + 16x + -7x2 = 0

Solving
-32 + 16x + -7x2 = 0

Begin completing the square.  Divide all terms by
-7 the coefficient of the squared term: 

Divide each side by '-7'.
4.571428571 + -2.285714286x + x2 = 0

Move the constant term to the right:

Add '-4.571428571' to each side of the equation.
4.571428571 + -2.285714286x + -4.571428571 + x2 = 0 + -4.571428571

Reorder the terms:
4.571428571 + -4.571428571 + -2.285714286x + x2 = 0 + -4.571428571

Combine like terms: 4.571428571 + -4.571428571 = 0.000000000
0.000000000 + -2.285714286x + x2 = 0 + -4.571428571
-2.285714286x + x2 = 0 + -4.571428571

Combine like terms: 0 + -4.571428571 = -4.571428571
-2.285714286x + x2 = -4.571428571

The x term is -2.285714286x.  Take half its coefficient (-1.142857143).
Square it (1.306122449) and add it to both sides.

Add '1.306122449' to each side of the equation.
-2.285714286x + 1.306122449 + x2 = -4.571428571 + 1.306122449

Reorder the terms:
1.306122449 + -2.285714286x + x2 = -4.571428571 + 1.306122449

Combine like terms: -4.571428571 + 1.306122449 = -3.265306122
1.306122449 + -2.285714286x + x2 = -3.265306122

Factor a perfect square on the left side:
(x + -1.142857143)(x + -1.142857143) = -3.265306122

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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