6m^2+240=78m

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Solution for 6m^2+240=78m equation:


Simplifying
6m2 + 240 = 78m

Reorder the terms:
240 + 6m2 = 78m

Solving
240 + 6m2 = 78m

Solving for variable 'm'.

Reorder the terms:
240 + -78m + 6m2 = 78m + -78m

Combine like terms: 78m + -78m = 0
240 + -78m + 6m2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(40 + -13m + m2) = 0

Factor a trinomial.
6((5 + -1m)(8 + -1m)) = 0

Ignore the factor 6.

Subproblem 1

Set the factor '(5 + -1m)' equal to zero and attempt to solve: Simplifying 5 + -1m = 0 Solving 5 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1m = 0 + -5 -1m = 0 + -5 Combine like terms: 0 + -5 = -5 -1m = -5 Divide each side by '-1'. m = 5 Simplifying m = 5

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 = {5, 8}

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