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Simplifying -16m2 + 12m4 = 0 Solving -16m2 + 12m4 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '4m2'. 4m2(-4 + 3m2) = 0 Ignore the factor 4.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 '(-4 + 3m2)' equal to zero and attempt to solve: Simplifying -4 + 3m2 = 0 Solving -4 + 3m2 = 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 + 3m2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3m2 = 0 + 4 3m2 = 0 + 4 Combine like terms: 0 + 4 = 4 3m2 = 4 Divide each side by '3'. m2 = 1.333333333 Simplifying m2 = 1.333333333 Take the square root of each side: m = {-1.154700538, 1.154700538}Solution
m = {0, -1.154700538, 1.154700538}
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