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Simplifying (r + 8)(r + 8) = r * r + 400 Reorder the terms: (8 + r)(r + 8) = r * r + 400 Reorder the terms: (8 + r)(8 + r) = r * r + 400 Multiply (8 + r) * (8 + r) (8(8 + r) + r(8 + r)) = r * r + 400 ((8 * 8 + r * 8) + r(8 + r)) = r * r + 400 ((64 + 8r) + r(8 + r)) = r * r + 400 (64 + 8r + (8 * r + r * r)) = r * r + 400 (64 + 8r + (8r + r2)) = r * r + 400 Combine like terms: 8r + 8r = 16r (64 + 16r + r2) = r * r + 400 Multiply r * r 64 + 16r + r2 = r2 + 400 Reorder the terms: 64 + 16r + r2 = 400 + r2 Add '-1r2' to each side of the equation. 64 + 16r + r2 + -1r2 = 400 + r2 + -1r2 Combine like terms: r2 + -1r2 = 0 64 + 16r + 0 = 400 + r2 + -1r2 64 + 16r = 400 + r2 + -1r2 Combine like terms: r2 + -1r2 = 0 64 + 16r = 400 + 0 64 + 16r = 400 Solving 64 + 16r = 400 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + -64 + 16r = 400 + -64 Combine like terms: 64 + -64 = 0 0 + 16r = 400 + -64 16r = 400 + -64 Combine like terms: 400 + -64 = 336 16r = 336 Divide each side by '16'. r = 21 Simplifying r = 21
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