m^2-72=m

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Solution for m^2-72=m equation:


Simplifying
m2 + -72 = m

Reorder the terms:
-72 + m2 = m

Solving
-72 + m2 = m

Solving for variable 'm'.

Reorder the terms:
-72 + -1m + m2 = m + -1m

Combine like terms: m + -1m = 0
-72 + -1m + m2 = 0

Factor a trinomial.
(-8 + -1m)(9 + -1m) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(9 + -1m)' equal to zero and attempt to solve: Simplifying 9 + -1m = 0 Solving 9 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1m = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1m = 0 + -9 -1m = 0 + -9 Combine like terms: 0 + -9 = -9 -1m = -9 Divide each side by '-1'. m = 9 Simplifying m = 9

Solution

m = {-8, 9}

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