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Simplifying 29m2 + -7 = 8m2 + -14m Reorder the terms: -7 + 29m2 = 8m2 + -14m Reorder the terms: -7 + 29m2 = -14m + 8m2 Solving -7 + 29m2 = -14m + 8m2 Solving for variable 'm'. Reorder the terms: -7 + 14m + 29m2 + -8m2 = -14m + 8m2 + 14m + -8m2 Combine like terms: 29m2 + -8m2 = 21m2 -7 + 14m + 21m2 = -14m + 8m2 + 14m + -8m2 Reorder the terms: -7 + 14m + 21m2 = -14m + 14m + 8m2 + -8m2 Combine like terms: -14m + 14m = 0 -7 + 14m + 21m2 = 0 + 8m2 + -8m2 -7 + 14m + 21m2 = 8m2 + -8m2 Combine like terms: 8m2 + -8m2 = 0 -7 + 14m + 21m2 = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(-1 + 2m + 3m2) = 0 Factor a trinomial. 7((-1 + -1m)(1 + -3m)) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(-1 + -1m)' equal to zero and attempt to solve: Simplifying -1 + -1m = 0 Solving -1 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1m = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1m = 0 + 1 -1m = 0 + 1 Combine like terms: 0 + 1 = 1 -1m = 1 Divide each side by '-1'. m = -1 Simplifying m = -1Subproblem 2
Set the factor '(1 + -3m)' equal to zero and attempt to solve: Simplifying 1 + -3m = 0 Solving 1 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3m = 0 + -1 -3m = 0 + -1 Combine like terms: 0 + -1 = -1 -3m = -1 Divide each side by '-3'. m = 0.3333333333 Simplifying m = 0.3333333333Solution
m = {-1, 0.3333333333}
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