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Simplifying m2 + -19 = -8m + 1 Reorder the terms: -19 + m2 = -8m + 1 Reorder the terms: -19 + m2 = 1 + -8m Solving -19 + m2 = 1 + -8m Solving for variable 'm'. Reorder the terms: -19 + -1 + 8m + m2 = 1 + -8m + -1 + 8m Combine like terms: -19 + -1 = -20 -20 + 8m + m2 = 1 + -8m + -1 + 8m Reorder the terms: -20 + 8m + m2 = 1 + -1 + -8m + 8m Combine like terms: 1 + -1 = 0 -20 + 8m + m2 = 0 + -8m + 8m -20 + 8m + m2 = -8m + 8m Combine like terms: -8m + 8m = 0 -20 + 8m + m2 = 0 Factor a trinomial. (-10 + -1m)(2 + -1m) = 0Subproblem 1
Set the factor '(-10 + -1m)' equal to zero and attempt to solve: Simplifying -10 + -1m = 0 Solving -10 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1m = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1m = 0 + 10 -1m = 0 + 10 Combine like terms: 0 + 10 = 10 -1m = 10 Divide each side by '-1'. m = -10 Simplifying m = -10Subproblem 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 = {-10, 2}
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