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