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Simplifying 36m2n2 + 36m2n2 + 36m4 = 0 Combine like terms: 36m2n2 + 36m2n2 = 72m2n2 72m2n2 + 36m4 = 0 Solving 72m2n2 + 36m4 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '36m2'. 36m2(2n2 + m2) = 0 Ignore the factor 36.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 '(2n2 + m2)' equal to zero and attempt to solve: Simplifying 2n2 + m2 = 0 Reorder the terms: m2 + 2n2 = 0 Solving m2 + 2n2 = 0 Move all terms containing m to the left, all other terms to the right. Add '-2n2' to each side of the equation. m2 + 2n2 + -2n2 = 0 + -2n2 Combine like terms: 2n2 + -2n2 = 0 m2 + 0 = 0 + -2n2 m2 = 0 + -2n2 Remove the zero: m2 = -2n2 Simplifying m2 = -2n2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
m = {0}
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