-8x^2+10x-16=0

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Solution for -8x^2+10x-16=0 equation: 


Simplifying
-8x2 + 10x + -16 = 0

Reorder the terms:
-16 + 10x + -8x2 = 0

Solving
-16 + 10x + -8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-8 + 5x + -4x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-8 + 5x + -4x2)' equal to zero and attempt to solve:

Simplifying
-8 + 5x + -4x2 = 0

Solving
-8 + 5x + -4x2 = 0

Begin completing the square.  Divide all terms by
-4 the coefficient of the squared term: 

Divide each side by '-4'.
2 + -1.25x + x2 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + -1.25x + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + -1.25x + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1.25x + x2 = 0 + -2
-1.25x + x2 = 0 + -2

Combine like terms: 0 + -2 = -2
-1.25x + x2 = -2

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 = -2 + 0.390625

Reorder the terms:
0.390625 + -1.25x + x2 = -2 + 0.390625

Combine like terms: -2 + 0.390625 = -1.609375
0.390625 + -1.25x + x2 = -1.609375

Factor a perfect square on the left side:
(x + -0.625)(x + -0.625) = -1.609375

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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