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Simplifying -3m9 + 3m5 + 15m9 + -6m5 = 0 Reorder the terms: 3m5 + -6m5 + -3m9 + 15m9 = 0 Combine like terms: 3m5 + -6m5 = -3m5 -3m5 + -3m9 + 15m9 = 0 Combine like terms: -3m9 + 15m9 = 12m9 -3m5 + 12m9 = 0 Solving -3m5 + 12m9 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '3m5'. 3m5(-1 + 4m4) = 0 Factor a difference between two squares. 3m5((1 + 2m2)(-1 + 2m2)) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'm5' equal to zero and attempt to solve: Simplifying m5 = 0 Solving m5 = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m5 = 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 '(1 + 2m2)' equal to zero and attempt to solve: Simplifying 1 + 2m2 = 0 Solving 1 + 2m2 = 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 + 2m2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2m2 = 0 + -1 2m2 = 0 + -1 Combine like terms: 0 + -1 = -1 2m2 = -1 Divide each side by '2'. m2 = -0.5 Simplifying m2 = -0.5 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(-1 + 2m2)' equal to zero and attempt to solve: Simplifying -1 + 2m2 = 0 Solving -1 + 2m2 = 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 + 2m2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2m2 = 0 + 1 2m2 = 0 + 1 Combine like terms: 0 + 1 = 1 2m2 = 1 Divide each side by '2'. m2 = 0.5 Simplifying m2 = 0.5 Take the square root of each side: m = {-0.707106781, 0.707106781}Solution
m = {-0.707106781, 0.707106781}
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