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Simplifying 40m6 + -30m4 = 0 Reorder the terms: -30m4 + 40m6 = 0 Solving -30m4 + 40m6 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '10m4'. 10m4(-3 + 4m2) = 0 Ignore the factor 10.Subproblem 1
Set the factor 'm4' equal to zero and attempt to solve: Simplifying m4 = 0 Solving m4 = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m4 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-3 + 4m2)' equal to zero and attempt to solve: Simplifying -3 + 4m2 = 0 Solving -3 + 4m2 = 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 + 4m2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 4m2 = 0 + 3 4m2 = 0 + 3 Combine like terms: 0 + 3 = 3 4m2 = 3 Divide each side by '4'. m2 = 0.75 Simplifying m2 = 0.75 Take the square root of each side: m = {-0.866025404, 0.866025404}Solution
m = {-0.866025404, 0.866025404}
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