x^2-8x+6=-100

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Solution for x^2-8x+6=-100 equation:


Simplifying
x2 + -8x + 6 = -100

Reorder the terms:
6 + -8x + x2 = -100

Solving
6 + -8x + x2 = -100

Solving for variable 'x'.

Reorder the terms:
6 + 100 + -8x + x2 = -100 + 100

Combine like terms: 6 + 100 = 106
106 + -8x + x2 = -100 + 100

Combine like terms: -100 + 100 = 0
106 + -8x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-106' to each side of the equation.
106 + -8x + -106 + x2 = 0 + -106

Reorder the terms:
106 + -106 + -8x + x2 = 0 + -106

Combine like terms: 106 + -106 = 0
0 + -8x + x2 = 0 + -106
-8x + x2 = 0 + -106

Combine like terms: 0 + -106 = -106
-8x + x2 = -106

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 = -106 + 16

Reorder the terms:
16 + -8x + x2 = -106 + 16

Combine like terms: -106 + 16 = -90
16 + -8x + x2 = -90

Factor a perfect square on the left side:
(x + -4)(x + -4) = -90

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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