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Simplifying -35 = 3m2 + 26m Reorder the terms: -35 = 26m + 3m2 Solving -35 = 26m + 3m2 Solving for variable 'm'. Reorder the terms: -35 + -26m + -3m2 = 26m + -26m + 3m2 + -3m2 Combine like terms: 26m + -26m = 0 -35 + -26m + -3m2 = 0 + 3m2 + -3m2 -35 + -26m + -3m2 = 3m2 + -3m2 Combine like terms: 3m2 + -3m2 = 0 -35 + -26m + -3m2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(35 + 26m + 3m2) = 0 Factor a trinomial. -1((7 + m)(5 + 3m)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(7 + m)' equal to zero and attempt to solve: Simplifying 7 + m = 0 Solving 7 + m = 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 + m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + m = 0 + -7 m = 0 + -7 Combine like terms: 0 + -7 = -7 m = -7 Simplifying m = -7Subproblem 2
Set the factor '(5 + 3m)' equal to zero and attempt to solve: Simplifying 5 + 3m = 0 Solving 5 + 3m = 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 + 3m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3m = 0 + -5 3m = 0 + -5 Combine like terms: 0 + -5 = -5 3m = -5 Divide each side by '3'. m = -1.666666667 Simplifying m = -1.666666667Solution
m = {-7, -1.666666667}
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