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Simplifying 729m4 + -576m2 = 0 Reorder the terms: -576m2 + 729m4 = 0 Solving -576m2 + 729m4 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '9m2'. 9m2(-64 + 81m2) = 0 Factor a difference between two squares. 9m2((8 + 9m)(-8 + 9m)) = 0 Ignore the factor 9.Subproblem 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 '(8 + 9m)' equal to zero and attempt to solve: Simplifying 8 + 9m = 0 Solving 8 + 9m = 0 Move all terms containing m to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 9m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 9m = 0 + -8 9m = 0 + -8 Combine like terms: 0 + -8 = -8 9m = -8 Divide each side by '9'. m = -0.8888888889 Simplifying m = -0.8888888889Subproblem 3
Set the factor '(-8 + 9m)' equal to zero and attempt to solve: Simplifying -8 + 9m = 0 Solving -8 + 9m = 0 Move all terms containing m to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 9m = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 9m = 0 + 8 9m = 0 + 8 Combine like terms: 0 + 8 = 8 9m = 8 Divide each side by '9'. m = 0.8888888889 Simplifying m = 0.8888888889Solution
m = {0, -0.8888888889, 0.8888888889}
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