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Simplifying (4m + 2) * x(3m + -3) = 0 Reorder the terms: (2 + 4m) * x(3m + -3) = 0 Reorder the terms: (2 + 4m) * x(-3 + 3m) = 0 Reorder the terms for easier multiplication: x(2 + 4m)(-3 + 3m) = 0 Multiply (2 + 4m) * (-3 + 3m) x(2(-3 + 3m) + 4m * (-3 + 3m)) = 0 x((-3 * 2 + 3m * 2) + 4m * (-3 + 3m)) = 0 x((-6 + 6m) + 4m * (-3 + 3m)) = 0 x(-6 + 6m + (-3 * 4m + 3m * 4m)) = 0 x(-6 + 6m + (-12m + 12m2)) = 0 Combine like terms: 6m + -12m = -6m x(-6 + -6m + 12m2) = 0 (-6 * x + -6m * x + 12m2 * x) = 0 Reorder the terms: (-6mx + 12m2x + -6x) = 0 (-6mx + 12m2x + -6x) = 0 Solving -6mx + 12m2x + -6x = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '6x'. 6x(-1m + 2m2 + -1) = 0 Factor a trinomial. 6x((m + -1)(2m + 1)) = 0 Ignore the factor 6.Subproblem 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 '(m + -1)' equal to zero and attempt to solve: Simplifying m + -1 = 0 Reorder the terms: -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 '(2m + 1)' equal to zero and attempt to solve: Simplifying 2m + 1 = 0 Reorder the terms: 1 + 2m = 0 Solving 1 + 2m = 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 + 2m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2m = 0 + -1 2m = 0 + -1 Combine like terms: 0 + -1 = -1 2m = -1 Divide each side by '2'. m = -0.5 Simplifying m = -0.5Solution
m = {1, -0.5}
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