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Simplifying 5m5 = 20m Solving 5m5 = 20m Solving for variable 'm'. Reorder the terms: -20m + 5m5 = 20m + -20m Combine like terms: 20m + -20m = 0 -20m + 5m5 = 0 Factor out the Greatest Common Factor (GCF), '5m'. 5m(-4 + m4) = 0 Factor a difference between two squares. 5m((2 + m2)(-2 + m2)) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'm' equal to zero and attempt to solve: Simplifying m = 0 Solving m = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m = 0Subproblem 2
Set the factor '(2 + m2)' equal to zero and attempt to solve: Simplifying 2 + m2 = 0 Solving 2 + m2 = 0 Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + m2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + m2 = 0 + -2 m2 = 0 + -2 Combine like terms: 0 + -2 = -2 m2 = -2 Simplifying m2 = -2 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 '(-2 + m2)' equal to zero and attempt to solve: Simplifying -2 + m2 = 0 Solving -2 + m2 = 0 Move all terms containing m to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + m2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + m2 = 0 + 2 m2 = 0 + 2 Combine like terms: 0 + 2 = 2 m2 = 2 Simplifying m2 = 2 Take the square root of each side: m = {-1.414213562, 1.414213562}Solution
m = {0, -1.414213562, 1.414213562}
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