-2x^2+16x-225=0

Solution for -2x^2+16x-225=0 equation:

Simplifying
-2x2 + 16x + -225 = 0

Reorder the terms:
-225 + 16x + -2x2 = 0

Solving
-225 + 16x + -2x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
112.5 + -8x + x2 = 0

Move the constant term to the right:

Add '-112.5' to each side of the equation.
112.5 + -8x + -112.5 + x2 = 0 + -112.5

Reorder the terms:
112.5 + -112.5 + -8x + x2 = 0 + -112.5

Combine like terms: 112.5 + -112.5 = 0.0
0.0 + -8x + x2 = 0 + -112.5
-8x + x2 = 0 + -112.5

Combine like terms: 0 + -112.5 = -112.5
-8x + x2 = -112.5

The x term is -8x.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8x + 16 + x2 = -112.5 + 16

Reorder the terms:
16 + -8x + x2 = -112.5 + 16

Combine like terms: -112.5 + 16 = -96.5
16 + -8x + x2 = -96.5

Factor a perfect square on the left side:
(x + -4)(x + -4) = -96.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.