m^2+32=12m

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Solution for m^2+32=12m equation:


Simplifying
m2 + 32 = 12m

Reorder the terms:
32 + m2 = 12m

Solving
32 + m2 = 12m

Solving for variable 'm'.

Reorder the terms:
32 + -12m + m2 = 12m + -12m

Combine like terms: 12m + -12m = 0
32 + -12m + m2 = 0

Factor a trinomial.
(4 + -1m)(8 + -1m) = 0

Subproblem 1

Set the factor '(4 + -1m)' equal to zero and attempt to solve: Simplifying 4 + -1m = 0 Solving 4 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1m = 0 + -4 -1m = 0 + -4 Combine like terms: 0 + -4 = -4 -1m = -4 Divide each side by '-1'. m = 4 Simplifying m = 4

Subproblem 2

Set the factor '(8 + -1m)' equal to zero and attempt to solve: Simplifying 8 + -1m = 0 Solving 8 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1m = 0 + -8 -1m = 0 + -8 Combine like terms: 0 + -8 = -8 -1m = -8 Divide each side by '-1'. m = 8 Simplifying m = 8

Solution

m = {4, 8}

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