-16x^2+18x-18=0

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Solution for -16x^2+18x-18=0 equation: 


Simplifying
-16x2 + 18x + -18 = 0

Reorder the terms:
-18 + 18x + -16x2 = 0

Solving
-18 + 18x + -16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-9 + 9x + -8x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-9 + 9x + -8x2)' equal to zero and attempt to solve:

Simplifying
-9 + 9x + -8x2 = 0

Solving
-9 + 9x + -8x2 = 0

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

Divide each side by '-8'.
1.125 + -1.125x + x2 = 0

Move the constant term to the right:

Add '-1.125' to each side of the equation.
1.125 + -1.125x + -1.125 + x2 = 0 + -1.125

Reorder the terms:
1.125 + -1.125 + -1.125x + x2 = 0 + -1.125

Combine like terms: 1.125 + -1.125 = 0.000
0.000 + -1.125x + x2 = 0 + -1.125
-1.125x + x2 = 0 + -1.125

Combine like terms: 0 + -1.125 = -1.125
-1.125x + x2 = -1.125

The x term is -1.125x.  Take half its coefficient (-0.5625).
Square it (0.31640625) and add it to both sides.

Add '0.31640625' to each side of the equation.
-1.125x + 0.31640625 + x2 = -1.125 + 0.31640625

Reorder the terms:
0.31640625 + -1.125x + x2 = -1.125 + 0.31640625

Combine like terms: -1.125 + 0.31640625 = -0.80859375
0.31640625 + -1.125x + x2 = -0.80859375

Factor a perfect square on the left side:
(x + -0.5625)(x + -0.5625) = -0.80859375

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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