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Simplifying m5 = 36m3 Solving m5 = 36m3 Solving for variable 'm'. Reorder the terms: -36m3 + m5 = 36m3 + -36m3 Combine like terms: 36m3 + -36m3 = 0 -36m3 + m5 = 0 Factor out the Greatest Common Factor (GCF), 'm3'. m3(-36 + m2) = 0 Factor a difference between two squares. m3((6 + m)(-6 + m)) = 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 '(6 + m)' equal to zero and attempt to solve: Simplifying 6 + m = 0 Solving 6 + m = 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 + m = 0 + -6 Combine like terms: 6 + -6 = 0 0 + m = 0 + -6 m = 0 + -6 Combine like terms: 0 + -6 = -6 m = -6 Simplifying m = -6Subproblem 3
Set the factor '(-6 + m)' equal to zero and attempt to solve: Simplifying -6 + m = 0 Solving -6 + m = 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 + m = 0 + 6 Combine like terms: -6 + 6 = 0 0 + m = 0 + 6 m = 0 + 6 Combine like terms: 0 + 6 = 6 m = 6 Simplifying m = 6Solution
m = {-6, 6}
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