-x^2+19x-118=0

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Solution for -x^2+19x-118=0 equation:


Simplifying
-1x2 + 19x + -118 = 0

Reorder the terms:
-118 + 19x + -1x2 = 0

Solving
-118 + 19x + -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'.
118 + -19x + x2 = 0

Move the constant term to the right:

Add '-118' to each side of the equation.
118 + -19x + -118 + x2 = 0 + -118

Reorder the terms:
118 + -118 + -19x + x2 = 0 + -118

Combine like terms: 118 + -118 = 0
0 + -19x + x2 = 0 + -118
-19x + x2 = 0 + -118

Combine like terms: 0 + -118 = -118
-19x + x2 = -118

The x term is -19x.  Take half its coefficient (-9.5).
Square it (90.25) and add it to both sides.

Add '90.25' to each side of the equation.
-19x + 90.25 + x2 = -118 + 90.25

Reorder the terms:
90.25 + -19x + x2 = -118 + 90.25

Combine like terms: -118 + 90.25 = -27.75
90.25 + -19x + x2 = -27.75

Factor a perfect square on the left side:
(x + -9.5)(x + -9.5) = -27.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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