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Simplifying 6m4 + -24m2 + -72 = 0 Reorder the terms: -72 + -24m2 + 6m4 = 0 Solving -72 + -24m2 + 6m4 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '6'. 6(-12 + -4m2 + m4) = 0 Factor a trinomial. 6((-2 + -1m2)(6 + -1m2)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-2 + -1m2)' equal to zero and attempt to solve: Simplifying -2 + -1m2 = 0 Solving -2 + -1m2 = 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 + -1m2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1m2 = 0 + 2 -1m2 = 0 + 2 Combine like terms: 0 + 2 = 2 -1m2 = 2 Divide each side by '-1'. 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 2
Set the factor '(6 + -1m2)' equal to zero and attempt to solve: Simplifying 6 + -1m2 = 0 Solving 6 + -1m2 = 0 Move all terms containing m to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1m2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1m2 = 0 + -6 -1m2 = 0 + -6 Combine like terms: 0 + -6 = -6 -1m2 = -6 Divide each side by '-1'. m2 = 6 Simplifying m2 = 6 Take the square root of each side: m = {-2.449489743, 2.449489743}Solution
m = {-2.449489743, 2.449489743}
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