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Simplifying (2w)(w) + -1(2w + -4)(w + -4) = 164 Remove parenthesis around (2w) 2w(w) + -1(2w + -4)(w + -4) = 164 Multiply w * w 2w2 + -1(2w + -4)(w + -4) = 164 Reorder the terms: 2w2 + -1(-4 + 2w)(w + -4) = 164 Reorder the terms: 2w2 + -1(-4 + 2w)(-4 + w) = 164 Multiply (-4 + 2w) * (-4 + w) 2w2 + -1(-4(-4 + w) + 2w * (-4 + w)) = 164 2w2 + -1((-4 * -4 + w * -4) + 2w * (-4 + w)) = 164 2w2 + -1((16 + -4w) + 2w * (-4 + w)) = 164 2w2 + -1(16 + -4w + (-4 * 2w + w * 2w)) = 164 2w2 + -1(16 + -4w + (-8w + 2w2)) = 164 Combine like terms: -4w + -8w = -12w 2w2 + -1(16 + -12w + 2w2) = 164 2w2 + (16 * -1 + -12w * -1 + 2w2 * -1) = 164 2w2 + (-16 + 12w + -2w2) = 164 Reorder the terms: -16 + 12w + 2w2 + -2w2 = 164 Combine like terms: 2w2 + -2w2 = 0 -16 + 12w + 0 = 164 -16 + 12w = 164 Solving -16 + 12w = 164 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 12w = 164 + 16 Combine like terms: -16 + 16 = 0 0 + 12w = 164 + 16 12w = 164 + 16 Combine like terms: 164 + 16 = 180 12w = 180 Divide each side by '12'. w = 15 Simplifying w = 15
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