x^2-8x+100=0

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Solution for x^2-8x+100=0 equation:


Simplifying
x2 + -8x + 100 = 0

Reorder the terms:
100 + -8x + x2 = 0

Solving
100 + -8x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-100' to each side of the equation.
100 + -8x + -100 + x2 = 0 + -100

Reorder the terms:
100 + -100 + -8x + x2 = 0 + -100

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

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

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 = -100 + 16

Reorder the terms:
16 + -8x + x2 = -100 + 16

Combine like terms: -100 + 16 = -84
16 + -8x + x2 = -84

Factor a perfect square on the left side:
(x + -4)(x + -4) = -84

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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