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Simplifying 7m2 + -18m2 + 24m2 + -13m3 = 0 Combine like terms: 7m2 + -18m2 = -11m2 -11m2 + 24m2 + -13m3 = 0 Combine like terms: -11m2 + 24m2 = 13m2 13m2 + -13m3 = 0 Solving 13m2 + -13m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '13m2'. 13m2(1 + -1m) = 0 Ignore the factor 13.Subproblem 1
Set the factor 'm2' equal to zero and attempt to solve: Simplifying m2 = 0 Solving m2 = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m2 = 0 Take the square root of each side: m = {0}Subproblem 2
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 = 1Solution
m = {0, 1}
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