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Simplifying 4m6 + -30m6 + 36m4 = 0 Reorder the terms: 36m4 + 4m6 + -30m6 = 0 Combine like terms: 4m6 + -30m6 = -26m6 36m4 + -26m6 = 0 Solving 36m4 + -26m6 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2m4'. 2m4(18 + -13m2) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'm4' equal to zero and attempt to solve: Simplifying m4 = 0 Solving m4 = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m4 = 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 '(18 + -13m2)' equal to zero and attempt to solve: Simplifying 18 + -13m2 = 0 Solving 18 + -13m2 = 0 Move all terms containing m to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -13m2 = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -13m2 = 0 + -18 -13m2 = 0 + -18 Combine like terms: 0 + -18 = -18 -13m2 = -18 Divide each side by '-13'. m2 = 1.384615385 Simplifying m2 = 1.384615385 Take the square root of each side: m = {-1.176696811, 1.176696811}Solution
m = {-1.176696811, 1.176696811}
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