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Simplifying 3m2 + -105 = 6m Reorder the terms: -105 + 3m2 = 6m Solving -105 + 3m2 = 6m Solving for variable 'm'. Reorder the terms: -105 + -6m + 3m2 = 6m + -6m Combine like terms: 6m + -6m = 0 -105 + -6m + 3m2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-35 + -2m + m2) = 0 Factor a trinomial. 3((-5 + -1m)(7 + -1m)) = 0 Ignore the factor 3.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 = -5Subproblem 2
Set the factor '(7 + -1m)' equal to zero and attempt to solve: Simplifying 7 + -1m = 0 Solving 7 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1m = 0 + -7 -1m = 0 + -7 Combine like terms: 0 + -7 = -7 -1m = -7 Divide each side by '-1'. m = 7 Simplifying m = 7Solution
m = {-5, 7}
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