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Simplifying 22r2 + -10r + 3 = 11r2 Reorder the terms: 3 + -10r + 22r2 = 11r2 Solving 3 + -10r + 22r2 = 11r2 Solving for variable 'r'. Combine like terms: 22r2 + -11r2 = 11r2 3 + -10r + 11r2 = 11r2 + -11r2 Combine like terms: 11r2 + -11r2 = 0 3 + -10r + 11r2 = 0 Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. 0.2727272727 + -0.9090909091r + r2 = 0 Move the constant term to the right: Add '-0.2727272727' to each side of the equation. 0.2727272727 + -0.9090909091r + -0.2727272727 + r2 = 0 + -0.2727272727 Reorder the terms: 0.2727272727 + -0.2727272727 + -0.9090909091r + r2 = 0 + -0.2727272727 Combine like terms: 0.2727272727 + -0.2727272727 = 0.0000000000 0.0000000000 + -0.9090909091r + r2 = 0 + -0.2727272727 -0.9090909091r + r2 = 0 + -0.2727272727 Combine like terms: 0 + -0.2727272727 = -0.2727272727 -0.9090909091r + r2 = -0.2727272727 The r term is -0.9090909091r. Take half its coefficient (-0.4545454546). Square it (0.2066115703) and add it to both sides. Add '0.2066115703' to each side of the equation. -0.9090909091r + 0.2066115703 + r2 = -0.2727272727 + 0.2066115703 Reorder the terms: 0.2066115703 + -0.9090909091r + r2 = -0.2727272727 + 0.2066115703 Combine like terms: -0.2727272727 + 0.2066115703 = -0.0661157024 0.2066115703 + -0.9090909091r + r2 = -0.0661157024 Factor a perfect square on the left side: (r + -0.4545454546)(r + -0.4545454546) = -0.0661157024 Can't calculate square root of the right side. The solution to this equation could not be determined.
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