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Simplifying (m + 4)(m + -4) + -1m(m + 6) = 2 Reorder the terms: (4 + m)(m + -4) + -1m(m + 6) = 2 Reorder the terms: (4 + m)(-4 + m) + -1m(m + 6) = 2 Multiply (4 + m) * (-4 + m) (4(-4 + m) + m(-4 + m)) + -1m(m + 6) = 2 ((-4 * 4 + m * 4) + m(-4 + m)) + -1m(m + 6) = 2 ((-16 + 4m) + m(-4 + m)) + -1m(m + 6) = 2 (-16 + 4m + (-4 * m + m * m)) + -1m(m + 6) = 2 (-16 + 4m + (-4m + m2)) + -1m(m + 6) = 2 Combine like terms: 4m + -4m = 0 (-16 + 0 + m2) + -1m(m + 6) = 2 (-16 + m2) + -1m(m + 6) = 2 Reorder the terms: -16 + m2 + -1m(6 + m) = 2 -16 + m2 + (6 * -1m + m * -1m) = 2 -16 + m2 + (-6m + -1m2) = 2 Reorder the terms: -16 + -6m + m2 + -1m2 = 2 Combine like terms: m2 + -1m2 = 0 -16 + -6m + 0 = 2 -16 + -6m = 2 Solving -16 + -6m = 2 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -6m = 2 + 16 Combine like terms: -16 + 16 = 0 0 + -6m = 2 + 16 -6m = 2 + 16 Combine like terms: 2 + 16 = 18 -6m = 18 Divide each side by '-6'. m = -3 Simplifying m = -3
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