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Simplifying m6 = 16m4 Solving m6 = 16m4 Solving for variable 'm'. Reorder the terms: -16m4 + m6 = 16m4 + -16m4 Combine like terms: 16m4 + -16m4 = 0 -16m4 + m6 = 0 Factor out the Greatest Common Factor (GCF), 'm4'. m4(-16 + m2) = 0 Factor a difference between two squares. m4((4 + m)(-4 + m)) = 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 + m)' equal to zero and attempt to solve: Simplifying 4 + m = 0 Solving 4 + m = 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 + m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + m = 0 + -4 m = 0 + -4 Combine like terms: 0 + -4 = -4 m = -4 Simplifying m = -4Subproblem 3
Set the factor '(-4 + m)' equal to zero and attempt to solve: Simplifying -4 + m = 0 Solving -4 + m = 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 + m = 0 + 4 Combine like terms: -4 + 4 = 0 0 + m = 0 + 4 m = 0 + 4 Combine like terms: 0 + 4 = 4 m = 4 Simplifying m = 4Solution
m = {-4, 4}
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