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Simplifying m4 + -16m2 = 80 Reorder the terms: -16m2 + m4 = 80 Solving -16m2 + m4 = 80 Solving for variable 'm'. Reorder the terms: -80 + -16m2 + m4 = 80 + -80 Combine like terms: 80 + -80 = 0 -80 + -16m2 + m4 = 0 Factor a trinomial. (-4 + -1m2)(20 + -1m2) = 0Subproblem 1
Set the factor '(-4 + -1m2)' equal to zero and attempt to solve: Simplifying -4 + -1m2 = 0 Solving -4 + -1m2 = 0 Move all terms containing m to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1m2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1m2 = 0 + 4 -1m2 = 0 + 4 Combine like terms: 0 + 4 = 4 -1m2 = 4 Divide each side by '-1'. m2 = -4 Simplifying m2 = -4 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 '(20 + -1m2)' equal to zero and attempt to solve: Simplifying 20 + -1m2 = 0 Solving 20 + -1m2 = 0 Move all terms containing m to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1m2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1m2 = 0 + -20 -1m2 = 0 + -20 Combine like terms: 0 + -20 = -20 -1m2 = -20 Divide each side by '-1'. m2 = 20 Simplifying m2 = 20 Take the square root of each side: m = {-4.472135955, 4.472135955}Solution
m = {-4.472135955, 4.472135955}
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