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Simplifying 16m4 + -81m2 = 0 Reorder the terms: -81m2 + 16m4 = 0 Solving -81m2 + 16m4 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm2'. m2(-81 + 16m2) = 0 Factor a difference between two squares. m2((9 + 4m)(-9 + 4m)) = 0Subproblem 1
Set the factor 'm2' equal to zero and attempt to solve: Simplifying m2 = 0 Solving m2 = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m2 = 0 Take the square root of each side: m = {0}Subproblem 2
Set the factor '(9 + 4m)' equal to zero and attempt to solve: Simplifying 9 + 4m = 0 Solving 9 + 4m = 0 Move all terms containing m to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 4m = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4m = 0 + -9 4m = 0 + -9 Combine like terms: 0 + -9 = -9 4m = -9 Divide each side by '4'. m = -2.25 Simplifying m = -2.25Subproblem 3
Set the factor '(-9 + 4m)' equal to zero and attempt to solve: Simplifying -9 + 4m = 0 Solving -9 + 4m = 0 Move all terms containing m to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 4m = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 4m = 0 + 9 4m = 0 + 9 Combine like terms: 0 + 9 = 9 4m = 9 Divide each side by '4'. m = 2.25 Simplifying m = 2.25Solution
m = {0, -2.25, 2.25}
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