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Simplifying (w + 4)(3w + 7) + -1w(3w + 3) = 0 Reorder the terms: (4 + w)(3w + 7) + -1w(3w + 3) = 0 Reorder the terms: (4 + w)(7 + 3w) + -1w(3w + 3) = 0 Multiply (4 + w) * (7 + 3w) (4(7 + 3w) + w(7 + 3w)) + -1w(3w + 3) = 0 ((7 * 4 + 3w * 4) + w(7 + 3w)) + -1w(3w + 3) = 0 ((28 + 12w) + w(7 + 3w)) + -1w(3w + 3) = 0 (28 + 12w + (7 * w + 3w * w)) + -1w(3w + 3) = 0 (28 + 12w + (7w + 3w2)) + -1w(3w + 3) = 0 Combine like terms: 12w + 7w = 19w (28 + 19w + 3w2) + -1w(3w + 3) = 0 Reorder the terms: 28 + 19w + 3w2 + -1w(3 + 3w) = 0 28 + 19w + 3w2 + (3 * -1w + 3w * -1w) = 0 28 + 19w + 3w2 + (-3w + -3w2) = 0 Reorder the terms: 28 + 19w + -3w + 3w2 + -3w2 = 0 Combine like terms: 19w + -3w = 16w 28 + 16w + 3w2 + -3w2 = 0 Combine like terms: 3w2 + -3w2 = 0 28 + 16w + 0 = 0 28 + 16w = 0 Solving 28 + 16w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 16w = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 16w = 0 + -28 16w = 0 + -28 Combine like terms: 0 + -28 = -28 16w = -28 Divide each side by '16'. w = -1.75 Simplifying w = -1.75
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