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Simplifying m(m + -2) + -2(m + -2) = 0 Reorder the terms: m(-2 + m) + -2(m + -2) = 0 (-2 * m + m * m) + -2(m + -2) = 0 (-2m + m2) + -2(m + -2) = 0 Reorder the terms: -2m + m2 + -2(-2 + m) = 0 -2m + m2 + (-2 * -2 + m * -2) = 0 -2m + m2 + (4 + -2m) = 0 Reorder the terms: 4 + -2m + -2m + m2 = 0 Combine like terms: -2m + -2m = -4m 4 + -4m + m2 = 0 Solving 4 + -4m + m2 = 0 Solving for variable 'm'. Factor a trinomial. (2 + -1m)(2 + -1m) = 0Subproblem 1
Set the factor '(2 + -1m)' equal to zero and attempt to solve: Simplifying 2 + -1m = 0 Solving 2 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1m = 0 + -2 -1m = 0 + -2 Combine like terms: 0 + -2 = -2 -1m = -2 Divide each side by '-1'. m = 2 Simplifying m = 2Subproblem 2
Set the factor '(2 + -1m)' equal to zero and attempt to solve: Simplifying 2 + -1m = 0 Solving 2 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1m = 0 + -2 -1m = 0 + -2 Combine like terms: 0 + -2 = -2 -1m = -2 Divide each side by '-1'. m = 2 Simplifying m = 2Solution
m = {2, 2}
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