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Simplifying -5m(2m3 + -7m + m) = 0 Reorder the terms: -5m(-7m + m + 2m3) = 0 Combine like terms: -7m + m = -6m -5m(-6m + 2m3) = 0 (-6m * -5m + 2m3 * -5m) = 0 (30m2 + -10m4) = 0 Solving 30m2 + -10m4 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '10m2'. 10m2(3 + -1m2) = 0 Ignore the factor 10.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 '(3 + -1m2)' equal to zero and attempt to solve: Simplifying 3 + -1m2 = 0 Solving 3 + -1m2 = 0 Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1m2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1m2 = 0 + -3 -1m2 = 0 + -3 Combine like terms: 0 + -3 = -3 -1m2 = -3 Divide each side by '-1'. m2 = 3 Simplifying m2 = 3 Take the square root of each side: m = {-1.732050808, 1.732050808}Solution
m = {0, -1.732050808, 1.732050808}
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