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Simplifying 17 = -1r * r + -7r Multiply r * r 17 = -1r2 + -7r Reorder the terms: 17 = -7r + -1r2 Solving 17 = -7r + -1r2 Solving for variable 'r'. Reorder the terms: 17 + 7r + r2 = -7r + 7r + -1r2 + r2 Combine like terms: -7r + 7r = 0 17 + 7r + r2 = 0 + -1r2 + r2 17 + 7r + r2 = -1r2 + r2 Combine like terms: -1r2 + r2 = 0 17 + 7r + r2 = 0 Begin completing the square. Move the constant term to the right: Add '-17' to each side of the equation. 17 + 7r + -17 + r2 = 0 + -17 Reorder the terms: 17 + -17 + 7r + r2 = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 7r + r2 = 0 + -17 7r + r2 = 0 + -17 Combine like terms: 0 + -17 = -17 7r + r2 = -17 The r term is 7r. Take half its coefficient (3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. 7r + 12.25 + r2 = -17 + 12.25 Reorder the terms: 12.25 + 7r + r2 = -17 + 12.25 Combine like terms: -17 + 12.25 = -4.75 12.25 + 7r + r2 = -4.75 Factor a perfect square on the left side: (r + 3.5)(r + 3.5) = -4.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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