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Simplifying 16m4 = 25m2 + -9 Reorder the terms: 16m4 = -9 + 25m2 Solving 16m4 = -9 + 25m2 Solving for variable 'm'. Reorder the terms: 9 + -25m2 + 16m4 = -9 + 25m2 + 9 + -25m2 Reorder the terms: 9 + -25m2 + 16m4 = -9 + 9 + 25m2 + -25m2 Combine like terms: -9 + 9 = 0 9 + -25m2 + 16m4 = 0 + 25m2 + -25m2 9 + -25m2 + 16m4 = 25m2 + -25m2 Combine like terms: 25m2 + -25m2 = 0 9 + -25m2 + 16m4 = 0 Factor a trinomial. (9 + -16m2)(1 + -1m2) = 0 Factor a difference between two squares. ((3 + 4m)(3 + -4m))(1 + -1m2) = 0 Factor a difference between two squares. ((1 + m)(1 + -1m))(3 + 4m)(3 + -4m) = 0Subproblem 1
Set the factor '(3 + 4m)' equal to zero and attempt to solve: Simplifying 3 + 4m = 0 Solving 3 + 4m = 0 Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4m = 0 + -3 4m = 0 + -3 Combine like terms: 0 + -3 = -3 4m = -3 Divide each side by '4'. m = -0.75 Simplifying m = -0.75Subproblem 2
Set the factor '(3 + -4m)' equal to zero and attempt to solve: Simplifying 3 + -4m = 0 Solving 3 + -4m = 0 Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4m = 0 + -3 -4m = 0 + -3 Combine like terms: 0 + -3 = -3 -4m = -3 Divide each side by '-4'. m = 0.75 Simplifying m = 0.75Subproblem 3
Set the factor '(1 + m)' equal to zero and attempt to solve: Simplifying 1 + m = 0 Solving 1 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + m = 0 + -1 m = 0 + -1 Combine like terms: 0 + -1 = -1 m = -1 Simplifying m = -1Subproblem 4
Set the factor '(1 + -1m)' equal to zero and attempt to solve: Simplifying 1 + -1m = 0 Solving 1 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1m = 0 + -1 -1m = 0 + -1 Combine like terms: 0 + -1 = -1 -1m = -1 Divide each side by '-1'. m = 1 Simplifying m = 1Solution
m = {-0.75, 0.75, -1, 1}
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