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Simplifying mx2 + -1(m + 2) + 2 = 0 Reorder the terms: mx2 + -1(2 + m) + 2 = 0 mx2 + (2 * -1 + m * -1) + 2 = 0 mx2 + (-2 + -1m) + 2 = 0 Reorder the terms: -2 + 2 + -1m + mx2 = 0 Combine like terms: -2 + 2 = 0 0 + -1m + mx2 = 0 -1m + mx2 = 0 Solving -1m + mx2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'm'. m(-1 + x2) = 0 Factor a difference between two squares. m((1 + x)(-1 + x)) = 0Subproblem 1
Set the factor 'm' equal to zero and attempt to solve: Simplifying m = 0 Solving m = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m = 0Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Add '-1x' to each side of the equation. x + -1x = -1 + -1x Combine like terms: x + -1x = 0 0 = -1 + -1x Simplifying 0 = -1 + -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(-1 + x)' equal to zero and attempt to solve: Simplifying -1 + x = 0 Solving -1 + x = 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 + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0 + 1 x = 0 + 1 Combine like terms: 0 + 1 = 1 x = 1 Add '-1x' to each side of the equation. x + -1x = 1 + -1x Combine like terms: x + -1x = 0 0 = 1 + -1x Simplifying 0 = 1 + -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
m = {0}
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