x^2-16x+86=-8

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Solution for x^2-16x+86=-8 equation:


Simplifying
x2 + -16x + 86 = -8

Reorder the terms:
86 + -16x + x2 = -8

Solving
86 + -16x + x2 = -8

Solving for variable 'x'.

Reorder the terms:
86 + 8 + -16x + x2 = -8 + 8

Combine like terms: 86 + 8 = 94
94 + -16x + x2 = -8 + 8

Combine like terms: -8 + 8 = 0
94 + -16x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-94' to each side of the equation.
94 + -16x + -94 + x2 = 0 + -94

Reorder the terms:
94 + -94 + -16x + x2 = 0 + -94

Combine like terms: 94 + -94 = 0
0 + -16x + x2 = 0 + -94
-16x + x2 = 0 + -94

Combine like terms: 0 + -94 = -94
-16x + x2 = -94

The x term is -16x.  Take half its coefficient (-8).
Square it (64) and add it to both sides.

Add '64' to each side of the equation.
-16x + 64 + x2 = -94 + 64

Reorder the terms:
64 + -16x + x2 = -94 + 64

Combine like terms: -94 + 64 = -30
64 + -16x + x2 = -30

Factor a perfect square on the left side:
(x + -8)(x + -8) = -30

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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