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Simplifying 4m6 + -30m5 + 36m4 = 0 Reorder the terms: 36m4 + -30m5 + 4m6 = 0 Solving 36m4 + -30m5 + 4m6 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2m4'. 2m4(18 + -15m + 2m2) = 0 Factor a trinomial. 2m4((3 + -2m)(6 + -1m)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'm4' equal to zero and attempt to solve: Simplifying m4 = 0 Solving m4 = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m4 = 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 '(3 + -2m)' equal to zero and attempt to solve: Simplifying 3 + -2m = 0 Solving 3 + -2m = 0 Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2m = 0 + -3 -2m = 0 + -3 Combine like terms: 0 + -3 = -3 -2m = -3 Divide each side by '-2'. m = 1.5 Simplifying m = 1.5Subproblem 3
Set the factor '(6 + -1m)' equal to zero and attempt to solve: Simplifying 6 + -1m = 0 Solving 6 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1m = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1m = 0 + -6 -1m = 0 + -6 Combine like terms: 0 + -6 = -6 -1m = -6 Divide each side by '-1'. m = 6 Simplifying m = 6Solution
m = {1.5, 6}
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