m^2-16m+96=0

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


Simplifying
m2 + -16m + 96 = 0

Reorder the terms:
96 + -16m + m2 = 0

Solving
96 + -16m + m2 = 0

Solving for variable 'm'.

Begin completing the square.

Move the constant term to the right:

Add '-96' to each side of the equation.
96 + -16m + -96 + m2 = 0 + -96

Reorder the terms:
96 + -96 + -16m + m2 = 0 + -96

Combine like terms: 96 + -96 = 0
0 + -16m + m2 = 0 + -96
-16m + m2 = 0 + -96

Combine like terms: 0 + -96 = -96
-16m + m2 = -96

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

Add '64' to each side of the equation.
-16m + 64 + m2 = -96 + 64

Reorder the terms:
64 + -16m + m2 = -96 + 64

Combine like terms: -96 + 64 = -32
64 + -16m + m2 = -32

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

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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