-16x^2+80x-182=0

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Solution for -16x^2+80x-182=0 equation: 


Simplifying
-16x2 + 80x + -182 = 0

Reorder the terms:
-182 + 80x + -16x2 = 0

Solving
-182 + 80x + -16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-91 + 40x + -8x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-91 + 40x + -8x2)' equal to zero and attempt to solve:

Simplifying
-91 + 40x + -8x2 = 0

Solving
-91 + 40x + -8x2 = 0

Begin completing the square.  Divide all terms by
-8 the coefficient of the squared term: 

Divide each side by '-8'.
11.375 + -5x + x2 = 0

Move the constant term to the right:

Add '-11.375' to each side of the equation.
11.375 + -5x + -11.375 + x2 = 0 + -11.375

Reorder the terms:
11.375 + -11.375 + -5x + x2 = 0 + -11.375

Combine like terms: 11.375 + -11.375 = 0.000
0.000 + -5x + x2 = 0 + -11.375
-5x + x2 = 0 + -11.375

Combine like terms: 0 + -11.375 = -11.375
-5x + x2 = -11.375

The x term is -5x.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5x + 6.25 + x2 = -11.375 + 6.25

Reorder the terms:
6.25 + -5x + x2 = -11.375 + 6.25

Combine like terms: -11.375 + 6.25 = -5.125
6.25 + -5x + x2 = -5.125

Factor a perfect square on the left side:
(x + -2.5)(x + -2.5) = -5.125

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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