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Simplifying 2m5 + -7m3 + -4m = 0 Reorder the terms: -4m + -7m3 + 2m5 = 0 Solving -4m + -7m3 + 2m5 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm'. m(-4 + -7m2 + 2m4) = 0 Factor a trinomial. m((-1 + -2m2)(4 + -1m2)) = 0 Factor a difference between two squares. m((-1 + -2m2)((2 + m)(2 + -1m))) = 0Subproblem 1
Set the factor 'm' equal to zero and attempt to solve: Simplifying m = 0 Solving m = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m = 0Subproblem 2
Set the factor '(-1 + -2m2)' equal to zero and attempt to solve: Simplifying -1 + -2m2 = 0 Solving -1 + -2m2 = 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 + -2m2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2m2 = 0 + 1 -2m2 = 0 + 1 Combine like terms: 0 + 1 = 1 -2m2 = 1 Divide each side by '-2'. m2 = -0.5 Simplifying m2 = -0.5 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
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 4
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 = {0, -2, 2}
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