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Simplifying 3 + 2r + -1r2 = 8 Solving 3 + 2r + -1r2 = 8 Solving for variable 'r'. Reorder the terms: 3 + -8 + 2r + -1r2 = 8 + -8 Combine like terms: 3 + -8 = -5 -5 + 2r + -1r2 = 8 + -8 Combine like terms: 8 + -8 = 0 -5 + 2r + -1r2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 5 + -2r + r2 = 0 Move the constant term to the right: Add '-5' to each side of the equation. 5 + -2r + -5 + r2 = 0 + -5 Reorder the terms: 5 + -5 + -2r + r2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2r + r2 = 0 + -5 -2r + r2 = 0 + -5 Combine like terms: 0 + -5 = -5 -2r + r2 = -5 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 = -5 + 1 Reorder the terms: 1 + -2r + r2 = -5 + 1 Combine like terms: -5 + 1 = -4 1 + -2r + r2 = -4 Factor a perfect square on the left side: (r + -1)(r + -1) = -4 Can't calculate square root of the right side. The solution to this equation could not be determined.
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