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Simplifying 4m = m2 + 4 Reorder the terms: 4m = 4 + m2 Solving 4m = 4 + m2 Solving for variable 'm'. Reorder the terms: -4 + 4m + -1m2 = 4 + m2 + -4 + -1m2 Reorder the terms: -4 + 4m + -1m2 = 4 + -4 + m2 + -1m2 Combine like terms: 4 + -4 = 0 -4 + 4m + -1m2 = 0 + m2 + -1m2 -4 + 4m + -1m2 = m2 + -1m2 Combine like terms: m2 + -1m2 = 0 -4 + 4m + -1m2 = 0 Factor a trinomial. (-2 + m)(2 + -1m) = 0Subproblem 1
Set the factor '(-2 + m)' equal to zero and attempt to solve: Simplifying -2 + m = 0 Solving -2 + m = 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 + m = 0 + 2 Combine like terms: -2 + 2 = 0 0 + m = 0 + 2 m = 0 + 2 Combine like terms: 0 + 2 = 2 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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