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Simplifying 3r2 + -8r + 90 = 0 Reorder the terms: 90 + -8r + 3r2 = 0 Solving 90 + -8r + 3r2 = 0 Solving for variable 'r'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 30 + -2.666666667r + r2 = 0 Move the constant term to the right: Add '-30' to each side of the equation. 30 + -2.666666667r + -30 + r2 = 0 + -30 Reorder the terms: 30 + -30 + -2.666666667r + r2 = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -2.666666667r + r2 = 0 + -30 -2.666666667r + r2 = 0 + -30 Combine like terms: 0 + -30 = -30 -2.666666667r + r2 = -30 The r term is -2.666666667r. Take half its coefficient (-1.333333334). Square it (1.777777780) and add it to both sides. Add '1.777777780' to each side of the equation. -2.666666667r + 1.777777780 + r2 = -30 + 1.777777780 Reorder the terms: 1.777777780 + -2.666666667r + r2 = -30 + 1.777777780 Combine like terms: -30 + 1.777777780 = -28.22222222 1.777777780 + -2.666666667r + r2 = -28.22222222 Factor a perfect square on the left side: (r + -1.333333334)(r + -1.333333334) = -28.22222222 Can't calculate square root of the right side. The solution to this equation could not be determined.
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