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Simplifying 5r2 + -33r + 90 = 0 Reorder the terms: 90 + -33r + 5r2 = 0 Solving 90 + -33r + 5r2 = 0 Solving for variable 'r'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 18 + -6.6r + r2 = 0 Move the constant term to the right: Add '-18' to each side of the equation. 18 + -6.6r + -18 + r2 = 0 + -18 Reorder the terms: 18 + -18 + -6.6r + r2 = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -6.6r + r2 = 0 + -18 -6.6r + r2 = 0 + -18 Combine like terms: 0 + -18 = -18 -6.6r + r2 = -18 The r term is -6.6r. Take half its coefficient (-3.3). Square it (10.89) and add it to both sides. Add '10.89' to each side of the equation. -6.6r + 10.89 + r2 = -18 + 10.89 Reorder the terms: 10.89 + -6.6r + r2 = -18 + 10.89 Combine like terms: -18 + 10.89 = -7.11 10.89 + -6.6r + r2 = -7.11 Factor a perfect square on the left side: (r + -3.3)(r + -3.3) = -7.11 Can't calculate square root of the right side. The solution to this equation could not be determined.
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