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Simplifying (3m2 + -1)(-6m3) = 0 Reorder the terms: (-1 + 3m2)(-6m3) = 0 Remove parenthesis around (-6m3) (-1 + 3m2) * -6m3 = 0 Reorder the terms for easier multiplication: -6m3(-1 + 3m2) = 0 (-1 * -6m3 + 3m2 * -6m3) = 0 (6m3 + -18m5) = 0 Solving 6m3 + -18m5 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '6m3'. 6m3(1 + -3m2) = 0 Ignore the factor 6.Subproblem 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 '(1 + -3m2)' equal to zero and attempt to solve: Simplifying 1 + -3m2 = 0 Solving 1 + -3m2 = 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 + -3m2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3m2 = 0 + -1 -3m2 = 0 + -1 Combine like terms: 0 + -1 = -1 -3m2 = -1 Divide each side by '-3'. m2 = 0.3333333333 Simplifying m2 = 0.3333333333 Take the square root of each side: m = {-0.577350269, 0.577350269}Solution
m = {-0.577350269, 0.577350269}
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