3m^2+72=33m

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Solution for 3m^2+72=33m equation:


Simplifying
3m2 + 72 = 33m

Reorder the terms:
72 + 3m2 = 33m

Solving
72 + 3m2 = 33m

Solving for variable 'm'.

Reorder the terms:
72 + -33m + 3m2 = 33m + -33m

Combine like terms: 33m + -33m = 0
72 + -33m + 3m2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(24 + -11m + m2) = 0

Factor a trinomial.
3((3 + -1m)(8 + -1m)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(3 + -1m)' equal to zero and attempt to solve: Simplifying 3 + -1m = 0 Solving 3 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1m = 0 + -3 -1m = 0 + -3 Combine like terms: 0 + -3 = -3 -1m = -3 Divide each side by '-1'. m = 3 Simplifying m = 3

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 = {3, 8}

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