(x-9)(x-10)=-86

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Solution for (x-9)(x-10)=-86 equation: 


Simplifying
(x + -9)(x + -10) = -86

Reorder the terms:
(-9 + x)(x + -10) = -86

Reorder the terms:
(-9 + x)(-10 + x) = -86

Multiply (-9 + x) * (-10 + x)
(-9(-10 + x) + x(-10 + x)) = -86
((-10 * -9 + x * -9) + x(-10 + x)) = -86
((90 + -9x) + x(-10 + x)) = -86
(90 + -9x + (-10 * x + x * x)) = -86
(90 + -9x + (-10x + x2)) = -86

Combine like terms: -9x + -10x = -19x
(90 + -19x + x2) = -86

Solving
90 + -19x + x2 = -86

Solving for variable 'x'.

Reorder the terms:
90 + 86 + -19x + x2 = -86 + 86

Combine like terms: 90 + 86 = 176
176 + -19x + x2 = -86 + 86

Combine like terms: -86 + 86 = 0
176 + -19x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-176' to each side of the equation.
176 + -19x + -176 + x2 = 0 + -176

Reorder the terms:
176 + -176 + -19x + x2 = 0 + -176

Combine like terms: 176 + -176 = 0
0 + -19x + x2 = 0 + -176
-19x + x2 = 0 + -176

Combine like terms: 0 + -176 = -176
-19x + x2 = -176

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 = -176 + 90.25

Reorder the terms:
90.25 + -19x + x2 = -176 + 90.25

Combine like terms: -176 + 90.25 = -85.75
90.25 + -19x + x2 = -85.75

Factor a perfect square on the left side:
(x + -9.5)(x + -9.5) = -85.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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