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Simplifying 5r2 + -3r + 15 = 0 Reorder the terms: 15 + -3r + 5r2 = 0 Solving 15 + -3r + 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'. 3 + -0.6r + r2 = 0 Move the constant term to the right: Add '-3' to each side of the equation. 3 + -0.6r + -3 + r2 = 0 + -3 Reorder the terms: 3 + -3 + -0.6r + r2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -0.6r + r2 = 0 + -3 -0.6r + r2 = 0 + -3 Combine like terms: 0 + -3 = -3 -0.6r + r2 = -3 The r term is -0.6r. Take half its coefficient (-0.3). Square it (0.09) and add it to both sides. Add '0.09' to each side of the equation. -0.6r + 0.09 + r2 = -3 + 0.09 Reorder the terms: 0.09 + -0.6r + r2 = -3 + 0.09 Combine like terms: -3 + 0.09 = -2.91 0.09 + -0.6r + r2 = -2.91 Factor a perfect square on the left side: (r + -0.3)(r + -0.3) = -2.91 Can't calculate square root of the right side. The solution to this equation could not be determined.
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