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Simplifying m2 + -4(m + -2)(2) = 0 Reorder the terms: m2 + -4(-2 + m)(2) = 0 Reorder the terms for easier multiplication: m2 + -4 * 2(-2 + m) = 0 Multiply -4 * 2 m2 + -8(-2 + m) = 0 m2 + (-2 * -8 + m * -8) = 0 m2 + (16 + -8m) = 0 Reorder the terms: 16 + -8m + m2 = 0 Solving 16 + -8m + m2 = 0 Solving for variable 'm'. Factor a trinomial. (4 + -1m)(4 + -1m) = 0Subproblem 1
Set the factor '(4 + -1m)' equal to zero and attempt to solve: Simplifying 4 + -1m = 0 Solving 4 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1m = 0 + -4 -1m = 0 + -4 Combine like terms: 0 + -4 = -4 -1m = -4 Divide each side by '-1'. m = 4 Simplifying m = 4Subproblem 2
Set the factor '(4 + -1m)' equal to zero and attempt to solve: Simplifying 4 + -1m = 0 Solving 4 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1m = 0 + -4 -1m = 0 + -4 Combine like terms: 0 + -4 = -4 -1m = -4 Divide each side by '-1'. m = 4 Simplifying m = 4Solution
m = {4, 4}
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