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Simplifying 2r + -1r2 = 15 Solving 2r + -1r2 = 15 Solving for variable 'r'. Reorder the terms: -15 + 2r + -1r2 = 15 + -15 Combine like terms: 15 + -15 = 0 -15 + 2r + -1r2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 15 + -2r + r2 = 0 Move the constant term to the right: Add '-15' to each side of the equation. 15 + -2r + -15 + r2 = 0 + -15 Reorder the terms: 15 + -15 + -2r + r2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -2r + r2 = 0 + -15 -2r + r2 = 0 + -15 Combine like terms: 0 + -15 = -15 -2r + r2 = -15 The r term is -2r. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2r + 1 + r2 = -15 + 1 Reorder the terms: 1 + -2r + r2 = -15 + 1 Combine like terms: -15 + 1 = -14 1 + -2r + r2 = -14 Factor a perfect square on the left side: (r + -1)(r + -1) = -14 Can't calculate square root of the right side. The solution to this equation could not be determined.
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