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Simplifying 9r2 + 14r + 79 = 0 Reorder the terms: 79 + 14r + 9r2 = 0 Solving 79 + 14r + 9r2 = 0 Solving for variable 'r'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 8.777777778 + 1.555555556r + r2 = 0 Move the constant term to the right: Add '-8.777777778' to each side of the equation. 8.777777778 + 1.555555556r + -8.777777778 + r2 = 0 + -8.777777778 Reorder the terms: 8.777777778 + -8.777777778 + 1.555555556r + r2 = 0 + -8.777777778 Combine like terms: 8.777777778 + -8.777777778 = 0.000000000 0.000000000 + 1.555555556r + r2 = 0 + -8.777777778 1.555555556r + r2 = 0 + -8.777777778 Combine like terms: 0 + -8.777777778 = -8.777777778 1.555555556r + r2 = -8.777777778 The r term is 1.555555556r. Take half its coefficient (0.777777778). Square it (0.6049382720) and add it to both sides. Add '0.6049382720' to each side of the equation. 1.555555556r + 0.6049382720 + r2 = -8.777777778 + 0.6049382720 Reorder the terms: 0.6049382720 + 1.555555556r + r2 = -8.777777778 + 0.6049382720 Combine like terms: -8.777777778 + 0.6049382720 = -8.172839506 0.6049382720 + 1.555555556r + r2 = -8.172839506 Factor a perfect square on the left side: (r + 0.777777778)(r + 0.777777778) = -8.172839506 Can't calculate square root of the right side. The solution to this equation could not be determined.
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