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Simplifying (m + 2)(m + 3) = (m + 2)(m + -3) Reorder the terms: (2 + m)(m + 3) = (m + 2)(m + -3) Reorder the terms: (2 + m)(3 + m) = (m + 2)(m + -3) Multiply (2 + m) * (3 + m) (2(3 + m) + m(3 + m)) = (m + 2)(m + -3) ((3 * 2 + m * 2) + m(3 + m)) = (m + 2)(m + -3) ((6 + 2m) + m(3 + m)) = (m + 2)(m + -3) (6 + 2m + (3 * m + m * m)) = (m + 2)(m + -3) (6 + 2m + (3m + m2)) = (m + 2)(m + -3) Combine like terms: 2m + 3m = 5m (6 + 5m + m2) = (m + 2)(m + -3) Reorder the terms: 6 + 5m + m2 = (2 + m)(m + -3) Reorder the terms: 6 + 5m + m2 = (2 + m)(-3 + m) Multiply (2 + m) * (-3 + m) 6 + 5m + m2 = (2(-3 + m) + m(-3 + m)) 6 + 5m + m2 = ((-3 * 2 + m * 2) + m(-3 + m)) 6 + 5m + m2 = ((-6 + 2m) + m(-3 + m)) 6 + 5m + m2 = (-6 + 2m + (-3 * m + m * m)) 6 + 5m + m2 = (-6 + 2m + (-3m + m2)) Combine like terms: 2m + -3m = -1m 6 + 5m + m2 = (-6 + -1m + m2) Add '-1m2' to each side of the equation. 6 + 5m + m2 + -1m2 = -6 + -1m + m2 + -1m2 Combine like terms: m2 + -1m2 = 0 6 + 5m + 0 = -6 + -1m + m2 + -1m2 6 + 5m = -6 + -1m + m2 + -1m2 Combine like terms: m2 + -1m2 = 0 6 + 5m = -6 + -1m + 0 6 + 5m = -6 + -1m Solving 6 + 5m = -6 + -1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'm' to each side of the equation. 6 + 5m + m = -6 + -1m + m Combine like terms: 5m + m = 6m 6 + 6m = -6 + -1m + m Combine like terms: -1m + m = 0 6 + 6m = -6 + 0 6 + 6m = -6 Add '-6' to each side of the equation. 6 + -6 + 6m = -6 + -6 Combine like terms: 6 + -6 = 0 0 + 6m = -6 + -6 6m = -6 + -6 Combine like terms: -6 + -6 = -12 6m = -12 Divide each side by '6'. m = -2 Simplifying m = -2
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