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Simplifying (r + 3)(r + 3) = 10r Reorder the terms: (3 + r)(r + 3) = 10r Reorder the terms: (3 + r)(3 + r) = 10r Multiply (3 + r) * (3 + r) (3(3 + r) + r(3 + r)) = 10r ((3 * 3 + r * 3) + r(3 + r)) = 10r ((9 + 3r) + r(3 + r)) = 10r (9 + 3r + (3 * r + r * r)) = 10r (9 + 3r + (3r + r2)) = 10r Combine like terms: 3r + 3r = 6r (9 + 6r + r2) = 10r Solving 9 + 6r + r2 = 10r Solving for variable 'r'. Reorder the terms: 9 + 6r + -10r + r2 = 10r + -10r Combine like terms: 6r + -10r = -4r 9 + -4r + r2 = 10r + -10r Combine like terms: 10r + -10r = 0 9 + -4r + r2 = 0 Begin completing the square. Move the constant term to the right: Add '-9' to each side of the equation. 9 + -4r + -9 + r2 = 0 + -9 Reorder the terms: 9 + -9 + -4r + r2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4r + r2 = 0 + -9 -4r + r2 = 0 + -9 Combine like terms: 0 + -9 = -9 -4r + r2 = -9 The r term is -4r. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4r + 4 + r2 = -9 + 4 Reorder the terms: 4 + -4r + r2 = -9 + 4 Combine like terms: -9 + 4 = -5 4 + -4r + r2 = -5 Factor a perfect square on the left side: (r + -2)(r + -2) = -5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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