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Simplifying 9m5 = 27m3 Solving 9m5 = 27m3 Solving for variable 'm'. Reorder the terms: -27m3 + 9m5 = 27m3 + -27m3 Combine like terms: 27m3 + -27m3 = 0 -27m3 + 9m5 = 0 Factor out the Greatest Common Factor (GCF), '9m3'. 9m3(-3 + m2) = 0 Ignore the factor 9.Subproblem 1
Set the factor 'm3' equal to zero and attempt to solve: Simplifying m3 = 0 Solving m3 = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m3 = 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 + m2)' equal to zero and attempt to solve: Simplifying -3 + m2 = 0 Solving -3 + m2 = 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 + m2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + m2 = 0 + 3 m2 = 0 + 3 Combine like terms: 0 + 3 = 3 m2 = 3 Simplifying m2 = 3 Take the square root of each side: m = {-1.732050808, 1.732050808}Solution
m = {-1.732050808, 1.732050808}
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