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Simplifying -4r2 + 7r + -9 = 0 Reorder the terms: -9 + 7r + -4r2 = 0 Solving -9 + 7r + -4r2 = 0 Solving for variable 'r'. Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. 2.25 + -1.75r + r2 = 0 Move the constant term to the right: Add '-2.25' to each side of the equation. 2.25 + -1.75r + -2.25 + r2 = 0 + -2.25 Reorder the terms: 2.25 + -2.25 + -1.75r + r2 = 0 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 0.00 + -1.75r + r2 = 0 + -2.25 -1.75r + r2 = 0 + -2.25 Combine like terms: 0 + -2.25 = -2.25 -1.75r + r2 = -2.25 The r term is -1.75r. Take half its coefficient (-0.875). Square it (0.765625) and add it to both sides. Add '0.765625' to each side of the equation. -1.75r + 0.765625 + r2 = -2.25 + 0.765625 Reorder the terms: 0.765625 + -1.75r + r2 = -2.25 + 0.765625 Combine like terms: -2.25 + 0.765625 = -1.484375 0.765625 + -1.75r + r2 = -1.484375 Factor a perfect square on the left side: (r + -0.875)(r + -0.875) = -1.484375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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