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Simplifying (w + 5)(w + 2) = (w + 5) * w + (w + 5) * 2 Reorder the terms: (5 + w)(w + 2) = (w + 5) * w + (w + 5) * 2 Reorder the terms: (5 + w)(2 + w) = (w + 5) * w + (w + 5) * 2 Multiply (5 + w) * (2 + w) (5(2 + w) + w(2 + w)) = (w + 5) * w + (w + 5) * 2 ((2 * 5 + w * 5) + w(2 + w)) = (w + 5) * w + (w + 5) * 2 ((10 + 5w) + w(2 + w)) = (w + 5) * w + (w + 5) * 2 (10 + 5w + (2 * w + w * w)) = (w + 5) * w + (w + 5) * 2 (10 + 5w + (2w + w2)) = (w + 5) * w + (w + 5) * 2 Combine like terms: 5w + 2w = 7w (10 + 7w + w2) = (w + 5) * w + (w + 5) * 2 Reorder the terms: 10 + 7w + w2 = (5 + w) * w + (w + 5) * 2 Reorder the terms for easier multiplication: 10 + 7w + w2 = w(5 + w) + (w + 5) * 2 10 + 7w + w2 = (5 * w + w * w) + (w + 5) * 2 10 + 7w + w2 = (5w + w2) + (w + 5) * 2 Reorder the terms: 10 + 7w + w2 = 5w + w2 + (5 + w) * 2 Reorder the terms for easier multiplication: 10 + 7w + w2 = 5w + w2 + 2(5 + w) 10 + 7w + w2 = 5w + w2 + (5 * 2 + w * 2) 10 + 7w + w2 = 5w + w2 + (10 + 2w) Reorder the terms: 10 + 7w + w2 = 10 + 5w + 2w + w2 Combine like terms: 5w + 2w = 7w 10 + 7w + w2 = 10 + 7w + w2 Add '-10' to each side of the equation. 10 + 7w + -10 + w2 = 10 + 7w + -10 + w2 Reorder the terms: 10 + -10 + 7w + w2 = 10 + 7w + -10 + w2 Combine like terms: 10 + -10 = 0 0 + 7w + w2 = 10 + 7w + -10 + w2 7w + w2 = 10 + 7w + -10 + w2 Reorder the terms: 7w + w2 = 10 + -10 + 7w + w2 Combine like terms: 10 + -10 = 0 7w + w2 = 0 + 7w + w2 7w + w2 = 7w + w2 Add '-7w' to each side of the equation. 7w + -7w + w2 = 7w + -7w + w2 Combine like terms: 7w + -7w = 0 0 + w2 = 7w + -7w + w2 w2 = 7w + -7w + w2 Combine like terms: 7w + -7w = 0 w2 = 0 + w2 w2 = w2 Add '-1w2' to each side of the equation. w2 + -1w2 = w2 + -1w2 Combine like terms: w2 + -1w2 = 0 0 = w2 + -1w2 Combine like terms: w2 + -1w2 = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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