-x^2+9x-112=0

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Solution for -x^2+9x-112=0 equation:


Simplifying
-1x2 + 9x + -112 = 0

Reorder the terms:
-112 + 9x + -1x2 = 0

Solving
-112 + 9x + -1x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
112 + -9x + x2 = 0

Move the constant term to the right:

Add '-112' to each side of the equation.
112 + -9x + -112 + x2 = 0 + -112

Reorder the terms:
112 + -112 + -9x + x2 = 0 + -112

Combine like terms: 112 + -112 = 0
0 + -9x + x2 = 0 + -112
-9x + x2 = 0 + -112

Combine like terms: 0 + -112 = -112
-9x + x2 = -112

The x term is -9x.  Take half its coefficient (-4.5).
Square it (20.25) and add it to both sides.

Add '20.25' to each side of the equation.
-9x + 20.25 + x2 = -112 + 20.25

Reorder the terms:
20.25 + -9x + x2 = -112 + 20.25

Combine like terms: -112 + 20.25 = -91.75
20.25 + -9x + x2 = -91.75

Factor a perfect square on the left side:
(x + -4.5)(x + -4.5) = -91.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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