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Simplifying (3w)(w) = (3w + -2)(w + -2) + 36 Remove parenthesis around (3w) 3w(w) = (3w + -2)(w + -2) + 36 Multiply w * w 3w2 = (3w + -2)(w + -2) + 36 Reorder the terms: 3w2 = (-2 + 3w)(w + -2) + 36 Reorder the terms: 3w2 = (-2 + 3w)(-2 + w) + 36 Multiply (-2 + 3w) * (-2 + w) 3w2 = (-2(-2 + w) + 3w * (-2 + w)) + 36 3w2 = ((-2 * -2 + w * -2) + 3w * (-2 + w)) + 36 3w2 = ((4 + -2w) + 3w * (-2 + w)) + 36 3w2 = (4 + -2w + (-2 * 3w + w * 3w)) + 36 3w2 = (4 + -2w + (-6w + 3w2)) + 36 Combine like terms: -2w + -6w = -8w 3w2 = (4 + -8w + 3w2) + 36 Reorder the terms: 3w2 = 4 + 36 + -8w + 3w2 Combine like terms: 4 + 36 = 40 3w2 = 40 + -8w + 3w2 Add '-3w2' to each side of the equation. 3w2 + -3w2 = 40 + -8w + 3w2 + -3w2 Combine like terms: 3w2 + -3w2 = 0 0 = 40 + -8w + 3w2 + -3w2 Combine like terms: 3w2 + -3w2 = 0 0 = 40 + -8w + 0 0 = 40 + -8w Solving 0 = 40 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. 0 + 8w = 40 + -8w + 8w Remove the zero: 8w = 40 + -8w + 8w Combine like terms: -8w + 8w = 0 8w = 40 + 0 8w = 40 Divide each side by '8'. w = 5 Simplifying w = 5
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