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Simplifying xm2 + -1xm + m = 0 Reorder the terms: m + -1mx + m2x = 0 Solving m + -1mx + m2x = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm'. m(1 + -1x + mx) = 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 + -1x + mx)' equal to zero and attempt to solve: Simplifying 1 + -1x + mx = 0 Reorder the terms: 1 + mx + -1x = 0 Solving 1 + mx + -1x = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + mx + -1 + -1x = 0 + -1 Reorder the terms: 1 + -1 + mx + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + mx + -1x = 0 + -1 mx + -1x = 0 + -1 Combine like terms: 0 + -1 = -1 mx + -1x = -1 Add 'x' to each side of the equation. mx + -1x + x = -1 + x Combine like terms: -1x + x = 0 mx + 0 = -1 + x mx = -1 + x Divide each side by 'x'. m = -1x-1 + 1 Simplifying m = -1x-1 + 1 Reorder the terms: m = 1 + -1x-1Solution
m = {0, 1 + -1x-1}
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