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Simplifying -6m4 + 4m2 = 0 Reorder the terms: 4m2 + -6m4 = 0 Solving 4m2 + -6m4 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2m2'. 2m2(2 + -3m2) = 0 Ignore the factor 2.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 '(2 + -3m2)' equal to zero and attempt to solve: Simplifying 2 + -3m2 = 0 Solving 2 + -3m2 = 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 + -3m2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3m2 = 0 + -2 -3m2 = 0 + -2 Combine like terms: 0 + -2 = -2 -3m2 = -2 Divide each side by '-3'. m2 = 0.6666666667 Simplifying m2 = 0.6666666667 Take the square root of each side: m = {-0.816496581, 0.816496581}Solution
m = {0, -0.816496581, 0.816496581}
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