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Simplifying 2m5n + -18mn = 0 Reorder the terms: -18mn + 2m5n = 0 Solving -18mn + 2m5n = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2mn'. 2mn(-9 + m4) = 0 Factor a difference between two squares. 2mn((3 + m2)(-3 + m2)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'mn' equal to zero and attempt to solve: Simplifying mn = 0 Solving mn = 0 Move all terms containing m to the left, all other terms to the right. Simplifying mn = 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 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 '(-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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