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Simplifying 5m4 + -5 = 0 Reorder the terms: -5 + 5m4 = 0 Solving -5 + 5m4 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 5m4 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 5m4 = 0 + 5 5m4 = 0 + 5 Combine like terms: 0 + 5 = 5 5m4 = 5 Divide each side by '5'. m4 = 1 Simplifying m4 = 1 Reorder the terms: -1 + m4 = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + m4 = 0 Factor a difference between two squares. (1 + m2)(-1 + m2) = 0 Factor a difference between two squares. (1 + m2)((1 + m)(-1 + m)) = 0Subproblem 1
Set the factor '(1 + m2)' equal to zero and attempt to solve: Simplifying 1 + m2 = 0 Solving 1 + m2 = 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 + m2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + m2 = 0 + -1 m2 = 0 + -1 Combine like terms: 0 + -1 = -1 m2 = -1 Simplifying m2 = -1 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 '(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 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 = 1Solution
m = {-1, 1}
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