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Simplifying (r + -5)(r + -5) = -3 Reorder the terms: (-5 + r)(r + -5) = -3 Reorder the terms: (-5 + r)(-5 + r) = -3 Multiply (-5 + r) * (-5 + r) (-5(-5 + r) + r(-5 + r)) = -3 ((-5 * -5 + r * -5) + r(-5 + r)) = -3 ((25 + -5r) + r(-5 + r)) = -3 (25 + -5r + (-5 * r + r * r)) = -3 (25 + -5r + (-5r + r2)) = -3 Combine like terms: -5r + -5r = -10r (25 + -10r + r2) = -3 Solving 25 + -10r + r2 = -3 Solving for variable 'r'. Reorder the terms: 25 + 3 + -10r + r2 = -3 + 3 Combine like terms: 25 + 3 = 28 28 + -10r + r2 = -3 + 3 Combine like terms: -3 + 3 = 0 28 + -10r + r2 = 0 Begin completing the square. Move the constant term to the right: Add '-28' to each side of the equation. 28 + -10r + -28 + r2 = 0 + -28 Reorder the terms: 28 + -28 + -10r + r2 = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -10r + r2 = 0 + -28 -10r + r2 = 0 + -28 Combine like terms: 0 + -28 = -28 -10r + r2 = -28 The r term is -10r. Take half its coefficient (-5). Square it (25) and add it to both sides. Add '25' to each side of the equation. -10r + 25 + r2 = -28 + 25 Reorder the terms: 25 + -10r + r2 = -28 + 25 Combine like terms: -28 + 25 = -3 25 + -10r + r2 = -3 Factor a perfect square on the left side: (r + -5)(r + -5) = -3 Can't calculate square root of the right side. The solution to this equation could not be determined.
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