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Simplifying 3m4 + 18m2 + -120 = 0 Reorder the terms: -120 + 18m2 + 3m4 = 0 Solving -120 + 18m2 + 3m4 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '3'. 3(-40 + 6m2 + m4) = 0 Factor a trinomial. 3((-10 + -1m2)(4 + -1m2)) = 0 Factor a difference between two squares. 3((-10 + -1m2)((2 + m)(2 + -1m))) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-10 + -1m2)' equal to zero and attempt to solve: Simplifying -10 + -1m2 = 0 Solving -10 + -1m2 = 0 Move all terms containing m to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1m2 = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1m2 = 0 + 10 -1m2 = 0 + 10 Combine like terms: 0 + 10 = 10 -1m2 = 10 Divide each side by '-1'. m2 = -10 Simplifying m2 = -10 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 '(2 + m)' equal to zero and attempt to solve: Simplifying 2 + m = 0 Solving 2 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + m = 0 + -2 m = 0 + -2 Combine like terms: 0 + -2 = -2 m = -2 Simplifying m = -2Subproblem 3
Set the factor '(2 + -1m)' equal to zero and attempt to solve: Simplifying 2 + -1m = 0 Solving 2 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1m = 0 + -2 -1m = 0 + -2 Combine like terms: 0 + -2 = -2 -1m = -2 Divide each side by '-1'. m = 2 Simplifying m = 2Solution
m = {-2, 2}
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