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Simplifying 2m2(-3m + 4m2) + -1(3m3) = 0 (-3m * 2m2 + 4m2 * 2m2) + -1(3m3) = 0 (-6m3 + 8m4) + -1(3m3) = 0 Remove parenthesis around (3m3) -6m3 + 8m4 + -1 * 3m3 = 0 Multiply -1 * 3 -6m3 + 8m4 + -3m3 = 0 Reorder the terms: -6m3 + -3m3 + 8m4 = 0 Combine like terms: -6m3 + -3m3 = -9m3 -9m3 + 8m4 = 0 Solving -9m3 + 8m4 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm3'. m3(-9 + 8m) = 0Subproblem 1
Set the factor 'm3' equal to zero and attempt to solve: Simplifying m3 = 0 Solving m3 = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-9 + 8m)' equal to zero and attempt to solve: Simplifying -9 + 8m = 0 Solving -9 + 8m = 0 Move all terms containing m to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 8m = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 8m = 0 + 9 8m = 0 + 9 Combine like terms: 0 + 9 = 9 8m = 9 Divide each side by '8'. m = 1.125 Simplifying m = 1.125Solution
m = {1.125}
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