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Simplifying (m + 2)(m + 3) = (m + 2)(m + -2) Reorder the terms: (2 + m)(m + 3) = (m + 2)(m + -2) Reorder the terms: (2 + m)(3 + m) = (m + 2)(m + -2) Multiply (2 + m) * (3 + m) (2(3 + m) + m(3 + m)) = (m + 2)(m + -2) ((3 * 2 + m * 2) + m(3 + m)) = (m + 2)(m + -2) ((6 + 2m) + m(3 + m)) = (m + 2)(m + -2) (6 + 2m + (3 * m + m * m)) = (m + 2)(m + -2) (6 + 2m + (3m + m2)) = (m + 2)(m + -2) Combine like terms: 2m + 3m = 5m (6 + 5m + m2) = (m + 2)(m + -2) Reorder the terms: 6 + 5m + m2 = (2 + m)(m + -2) Reorder the terms: 6 + 5m + m2 = (2 + m)(-2 + m) Multiply (2 + m) * (-2 + m) 6 + 5m + m2 = (2(-2 + m) + m(-2 + m)) 6 + 5m + m2 = ((-2 * 2 + m * 2) + m(-2 + m)) 6 + 5m + m2 = ((-4 + 2m) + m(-2 + m)) 6 + 5m + m2 = (-4 + 2m + (-2 * m + m * m)) 6 + 5m + m2 = (-4 + 2m + (-2m + m2)) Combine like terms: 2m + -2m = 0 6 + 5m + m2 = (-4 + 0 + m2) 6 + 5m + m2 = (-4 + m2) Add '-1m2' to each side of the equation. 6 + 5m + m2 + -1m2 = -4 + m2 + -1m2 Combine like terms: m2 + -1m2 = 0 6 + 5m + 0 = -4 + m2 + -1m2 6 + 5m = -4 + m2 + -1m2 Combine like terms: m2 + -1m2 = 0 6 + 5m = -4 + 0 6 + 5m = -4 Solving 6 + 5m = -4 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5m = -4 + -6 Combine like terms: 6 + -6 = 0 0 + 5m = -4 + -6 5m = -4 + -6 Combine like terms: -4 + -6 = -10 5m = -10 Divide each side by '5'. m = -2 Simplifying m = -2
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