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Simplifying r2 + 15 = 4r Reorder the terms: 15 + r2 = 4r Solving 15 + r2 = 4r Solving for variable 'r'. Reorder the terms: 15 + -4r + r2 = 4r + -4r Combine like terms: 4r + -4r = 0 15 + -4r + r2 = 0 Begin completing the square. Move the constant term to the right: Add '-15' to each side of the equation. 15 + -4r + -15 + r2 = 0 + -15 Reorder the terms: 15 + -15 + -4r + r2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -4r + r2 = 0 + -15 -4r + r2 = 0 + -15 Combine like terms: 0 + -15 = -15 -4r + r2 = -15 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 = -15 + 4 Reorder the terms: 4 + -4r + r2 = -15 + 4 Combine like terms: -15 + 4 = -11 4 + -4r + r2 = -11 Factor a perfect square on the left side: (r + -2)(r + -2) = -11 Can't calculate square root of the right side. The solution to this equation could not be determined.
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