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Simplifying 81m8 + -16m4 = 0 Reorder the terms: -16m4 + 81m8 = 0 Solving -16m4 + 81m8 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm4'. m4(-16 + 81m4) = 0 Factor a difference between two squares. m4((4 + 9m2)(-4 + 9m2)) = 0 Factor a difference between two squares. m4((4 + 9m2)((2 + 3m)(-2 + 3m))) = 0Subproblem 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 '(4 + 9m2)' equal to zero and attempt to solve: Simplifying 4 + 9m2 = 0 Solving 4 + 9m2 = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 9m2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 9m2 = 0 + -4 9m2 = 0 + -4 Combine like terms: 0 + -4 = -4 9m2 = -4 Divide each side by '9'. m2 = -0.4444444444 Simplifying m2 = -0.4444444444 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 + 3m)' equal to zero and attempt to solve: Simplifying 2 + 3m = 0 Solving 2 + 3m = 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 + 3m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3m = 0 + -2 3m = 0 + -2 Combine like terms: 0 + -2 = -2 3m = -2 Divide each side by '3'. m = -0.6666666667 Simplifying m = -0.6666666667Subproblem 4
Set the factor '(-2 + 3m)' equal to zero and attempt to solve: Simplifying -2 + 3m = 0 Solving -2 + 3m = 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 + 3m = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3m = 0 + 2 3m = 0 + 2 Combine like terms: 0 + 2 = 2 3m = 2 Divide each side by '3'. m = 0.6666666667 Simplifying m = 0.6666666667Solution
m = {-0.6666666667, 0.6666666667}
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