-10x^2+16x-36=0

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Solution for -10x^2+16x-36=0 equation: 


Simplifying
-10x2 + 16x + -36 = 0

Reorder the terms:
-36 + 16x + -10x2 = 0

Solving
-36 + 16x + -10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-18 + 8x + -5x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-18 + 8x + -5x2)' equal to zero and attempt to solve:

Simplifying
-18 + 8x + -5x2 = 0

Solving
-18 + 8x + -5x2 = 0

Begin completing the square.  Divide all terms by
-5 the coefficient of the squared term: 

Divide each side by '-5'.
3.6 + -1.6x + x2 = 0

Move the constant term to the right:

Add '-3.6' to each side of the equation.
3.6 + -1.6x + -3.6 + x2 = 0 + -3.6

Reorder the terms:
3.6 + -3.6 + -1.6x + x2 = 0 + -3.6

Combine like terms: 3.6 + -3.6 = 0.0
0.0 + -1.6x + x2 = 0 + -3.6
-1.6x + x2 = 0 + -3.6

Combine like terms: 0 + -3.6 = -3.6
-1.6x + x2 = -3.6

The x term is -1.6x.  Take half its coefficient (-0.8).
Square it (0.64) and add it to both sides.

Add '0.64' to each side of the equation.
-1.6x + 0.64 + x2 = -3.6 + 0.64

Reorder the terms:
0.64 + -1.6x + x2 = -3.6 + 0.64

Combine like terms: -3.6 + 0.64 = -2.96
0.64 + -1.6x + x2 = -2.96

Factor a perfect square on the left side:
(x + -0.8)(x + -0.8) = -2.96

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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