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Simplifying (7 + r)(7 + r) = r2 + 144 Multiply (7 + r) * (7 + r) (7(7 + r) + r(7 + r)) = r2 + 144 ((7 * 7 + r * 7) + r(7 + r)) = r2 + 144 ((49 + 7r) + r(7 + r)) = r2 + 144 (49 + 7r + (7 * r + r * r)) = r2 + 144 (49 + 7r + (7r + r2)) = r2 + 144 Combine like terms: 7r + 7r = 14r (49 + 14r + r2) = r2 + 144 Reorder the terms: 49 + 14r + r2 = 144 + r2 Add '-1r2' to each side of the equation. 49 + 14r + r2 + -1r2 = 144 + r2 + -1r2 Combine like terms: r2 + -1r2 = 0 49 + 14r + 0 = 144 + r2 + -1r2 49 + 14r = 144 + r2 + -1r2 Combine like terms: r2 + -1r2 = 0 49 + 14r = 144 + 0 49 + 14r = 144 Solving 49 + 14r = 144 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + 14r = 144 + -49 Combine like terms: 49 + -49 = 0 0 + 14r = 144 + -49 14r = 144 + -49 Combine like terms: 144 + -49 = 95 14r = 95 Divide each side by '14'. r = 6.785714286 Simplifying r = 6.785714286
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