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Simplifying (6w + 4)(w + 2) = (6w * w) + 56 Reorder the terms: (4 + 6w)(w + 2) = (6w * w) + 56 Reorder the terms: (4 + 6w)(2 + w) = (6w * w) + 56 Multiply (4 + 6w) * (2 + w) (4(2 + w) + 6w * (2 + w)) = (6w * w) + 56 ((2 * 4 + w * 4) + 6w * (2 + w)) = (6w * w) + 56 ((8 + 4w) + 6w * (2 + w)) = (6w * w) + 56 (8 + 4w + (2 * 6w + w * 6w)) = (6w * w) + 56 (8 + 4w + (12w + 6w2)) = (6w * w) + 56 Combine like terms: 4w + 12w = 16w (8 + 16w + 6w2) = (6w * w) + 56 Multiply w * w 8 + 16w + 6w2 = (6w2) + 56 Reorder the terms: 8 + 16w + 6w2 = 56 + (6w2) Add '-6w2' to each side of the equation. 8 + 16w + 6w2 + -6w2 = 56 + (6w2) + -6w2 Combine like terms: 6w2 + -6w2 = 0 8 + 16w + 0 = 56 + (6w2) + -6w2 8 + 16w = 56 + (6w2) + -6w2 Combine like terms: (6w2) + -6w2 = 0 8 + 16w = 56 + 0 8 + 16w = 56 Solving 8 + 16w = 56 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 16w = 56 + -8 Combine like terms: 8 + -8 = 0 0 + 16w = 56 + -8 16w = 56 + -8 Combine like terms: 56 + -8 = 48 16w = 48 Divide each side by '16'. w = 3 Simplifying w = 3
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