x^2-16x+96=0

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Solution for x^2-16x+96=0 equation:


Simplifying
x2 + -16x + 96 = 0

Reorder the terms:
96 + -16x + x2 = 0

Solving
96 + -16x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-96' to each side of the equation.
96 + -16x + -96 + x2 = 0 + -96

Reorder the terms:
96 + -96 + -16x + x2 = 0 + -96

Combine like terms: 96 + -96 = 0
0 + -16x + x2 = 0 + -96
-16x + x2 = 0 + -96

Combine like terms: 0 + -96 = -96
-16x + x2 = -96

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 = -96 + 64

Reorder the terms:
64 + -16x + x2 = -96 + 64

Combine like terms: -96 + 64 = -32
64 + -16x + x2 = -32

Factor a perfect square on the left side:
(x + -8)(x + -8) = -32

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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