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Simplifying 7r2 + -14r = -17 Reorder the terms: -14r + 7r2 = -17 Solving -14r + 7r2 = -17 Solving for variable 'r'. Reorder the terms: 17 + -14r + 7r2 = -17 + 17 Combine like terms: -17 + 17 = 0 17 + -14r + 7r2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 2.428571429 + -2r + r2 = 0 Move the constant term to the right: Add '-2.428571429' to each side of the equation. 2.428571429 + -2r + -2.428571429 + r2 = 0 + -2.428571429 Reorder the terms: 2.428571429 + -2.428571429 + -2r + r2 = 0 + -2.428571429 Combine like terms: 2.428571429 + -2.428571429 = 0.000000000 0.000000000 + -2r + r2 = 0 + -2.428571429 -2r + r2 = 0 + -2.428571429 Combine like terms: 0 + -2.428571429 = -2.428571429 -2r + r2 = -2.428571429 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 = -2.428571429 + 1 Reorder the terms: 1 + -2r + r2 = -2.428571429 + 1 Combine like terms: -2.428571429 + 1 = -1.428571429 1 + -2r + r2 = -1.428571429 Factor a perfect square on the left side: (r + -1)(r + -1) = -1.428571429 Can't calculate square root of the right side. The solution to this equation could not be determined.
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