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Simplifying mx3 + x2(m + -1) + -2mx = 0 Reorder the terms: mx3 + x2(-1 + m) + -2mx = 0 mx3 + (-1 * x2 + m * x2) + -2mx = 0 Reorder the terms: mx3 + (mx2 + -1x2) + -2mx = 0 mx3 + (mx2 + -1x2) + -2mx = 0 Reorder the terms: -2mx + mx2 + mx3 + -1x2 = 0 Solving -2mx + mx2 + mx3 + -1x2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'x2' to each side of the equation. -2mx + mx2 + mx3 + -1x2 + x2 = 0 + x2 Combine like terms: -1x2 + x2 = 0 -2mx + mx2 + mx3 + 0 = 0 + x2 -2mx + mx2 + mx3 = 0 + x2 Remove the zero: -2mx + mx2 + mx3 = x2 Combine like terms: x2 + -1x2 = 0 -2mx + mx2 + mx3 + -1x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-2m + mx + mx2 + -1x) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing m to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x = 0 + -1x Remove the zero: 0 = -1x Simplifying 0 = -1x 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 '(-2m + mx + mx2 + -1x)' equal to zero and attempt to solve: Simplifying -2m + mx + mx2 + -1x = 0 Solving -2m + mx + mx2 + -1x = 0 Move all terms containing m to the left, all other terms to the right. Add 'x' to each side of the equation. -2m + mx + mx2 + -1x + x = 0 + x Combine like terms: -1x + x = 0 -2m + mx + mx2 + 0 = 0 + x -2m + mx + mx2 = 0 + x Remove the zero: -2m + mx + mx2 = x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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