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Simplifying (4m4 + -1m2) + -1(5m2 + m4) = 0 Reorder the terms: (-1m2 + 4m4) + -1(5m2 + m4) = 0 Remove parenthesis around (-1m2 + 4m4) -1m2 + 4m4 + -1(5m2 + m4) = 0 -1m2 + 4m4 + (5m2 * -1 + m4 * -1) = 0 -1m2 + 4m4 + (-5m2 + -1m4) = 0 Reorder the terms: -1m2 + -5m2 + 4m4 + -1m4 = 0 Combine like terms: -1m2 + -5m2 = -6m2 -6m2 + 4m4 + -1m4 = 0 Combine like terms: 4m4 + -1m4 = 3m4 -6m2 + 3m4 = 0 Solving -6m2 + 3m4 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '3m2'. 3m2(-2 + m2) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'm2' equal to zero and attempt to solve: Simplifying m2 = 0 Solving m2 = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m2 = 0 Take the square root of each side: m = {0}Subproblem 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 Take the square root of each side: m = {-1.414213562, 1.414213562}Solution
m = {0, -1.414213562, 1.414213562}
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