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Simplifying m2 + -4m + 14 = 10 Reorder the terms: 14 + -4m + m2 = 10 Solving 14 + -4m + m2 = 10 Solving for variable 'm'. Reorder the terms: 14 + -10 + -4m + m2 = 10 + -10 Combine like terms: 14 + -10 = 4 4 + -4m + m2 = 10 + -10 Combine like terms: 10 + -10 = 0 4 + -4m + m2 = 0 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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