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Simplifying 7r2 + -14r = -8 Reorder the terms: -14r + 7r2 = -8 Solving -14r + 7r2 = -8 Solving for variable 'r'. Reorder the terms: 8 + -14r + 7r2 = -8 + 8 Combine like terms: -8 + 8 = 0 8 + -14r + 7r2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 1.142857143 + -2r + r2 = 0 Move the constant term to the right: Add '-1.142857143' to each side of the equation. 1.142857143 + -2r + -1.142857143 + r2 = 0 + -1.142857143 Reorder the terms: 1.142857143 + -1.142857143 + -2r + r2 = 0 + -1.142857143 Combine like terms: 1.142857143 + -1.142857143 = 0.000000000 0.000000000 + -2r + r2 = 0 + -1.142857143 -2r + r2 = 0 + -1.142857143 Combine like terms: 0 + -1.142857143 = -1.142857143 -2r + r2 = -1.142857143 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 = -1.142857143 + 1 Reorder the terms: 1 + -2r + r2 = -1.142857143 + 1 Combine like terms: -1.142857143 + 1 = -0.142857143 1 + -2r + r2 = -0.142857143 Factor a perfect square on the left side: (r + -1)(r + -1) = -0.142857143 Can't calculate square root of the right side. The solution to this equation could not be determined.
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