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Simplifying 4m2 = 32m4 Solving 4m2 = 32m4 Solving for variable 'm'. Combine like terms: 32m4 + -32m4 = 0 4m2 + -32m4 = 0 Factor out the Greatest Common Factor (GCF), '4m2'. 4m2(1 + -8m2) = 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 '(1 + -8m2)' equal to zero and attempt to solve: Simplifying 1 + -8m2 = 0 Solving 1 + -8m2 = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -8m2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -8m2 = 0 + -1 -8m2 = 0 + -1 Combine like terms: 0 + -1 = -1 -8m2 = -1 Divide each side by '-8'. m2 = 0.125 Simplifying m2 = 0.125 Take the square root of each side: m = {-0.353553391, 0.353553391}Solution
m = {0, -0.353553391, 0.353553391}
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