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Simplifying (m + -11)(m + 3) = m + -11 Reorder the terms: (-11 + m)(m + 3) = m + -11 Reorder the terms: (-11 + m)(3 + m) = m + -11 Multiply (-11 + m) * (3 + m) (-11(3 + m) + m(3 + m)) = m + -11 ((3 * -11 + m * -11) + m(3 + m)) = m + -11 ((-33 + -11m) + m(3 + m)) = m + -11 (-33 + -11m + (3 * m + m * m)) = m + -11 (-33 + -11m + (3m + m2)) = m + -11 Combine like terms: -11m + 3m = -8m (-33 + -8m + m2) = m + -11 Reorder the terms: -33 + -8m + m2 = -11 + m Solving -33 + -8m + m2 = -11 + m Solving for variable 'm'. Reorder the terms: -33 + 11 + -8m + -1m + m2 = -11 + m + 11 + -1m Combine like terms: -33 + 11 = -22 -22 + -8m + -1m + m2 = -11 + m + 11 + -1m Combine like terms: -8m + -1m = -9m -22 + -9m + m2 = -11 + m + 11 + -1m Reorder the terms: -22 + -9m + m2 = -11 + 11 + m + -1m Combine like terms: -11 + 11 = 0 -22 + -9m + m2 = 0 + m + -1m -22 + -9m + m2 = m + -1m Combine like terms: m + -1m = 0 -22 + -9m + m2 = 0 Factor a trinomial. (-2 + -1m)(11 + -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 '(11 + -1m)' equal to zero and attempt to solve: Simplifying 11 + -1m = 0 Solving 11 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1m = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1m = 0 + -11 -1m = 0 + -11 Combine like terms: 0 + -11 = -11 -1m = -11 Divide each side by '-1'. m = 11 Simplifying m = 11Solution
m = {-2, 11}
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