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Simplifying 25r2 + -15r + 9 = 0 Reorder the terms: 9 + -15r + 25r2 = 0 Solving 9 + -15r + 25r2 = 0 Solving for variable 'r'. Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. 0.36 + -0.6r + r2 = 0 Move the constant term to the right: Add '-0.36' to each side of the equation. 0.36 + -0.6r + -0.36 + r2 = 0 + -0.36 Reorder the terms: 0.36 + -0.36 + -0.6r + r2 = 0 + -0.36 Combine like terms: 0.36 + -0.36 = 0.00 0.00 + -0.6r + r2 = 0 + -0.36 -0.6r + r2 = 0 + -0.36 Combine like terms: 0 + -0.36 = -0.36 -0.6r + r2 = -0.36 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 = -0.36 + 0.09 Reorder the terms: 0.09 + -0.6r + r2 = -0.36 + 0.09 Combine like terms: -0.36 + 0.09 = -0.27 0.09 + -0.6r + r2 = -0.27 Factor a perfect square on the left side: (r + -0.3)(r + -0.3) = -0.27 Can't calculate square root of the right side. The solution to this equation could not be determined.
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