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Simplifying 3r2 + -12r + 35 = 0 Reorder the terms: 35 + -12r + 3r2 = 0 Solving 35 + -12r + 3r2 = 0 Solving for variable 'r'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 11.66666667 + -4r + r2 = 0 Move the constant term to the right: Add '-11.66666667' to each side of the equation. 11.66666667 + -4r + -11.66666667 + r2 = 0 + -11.66666667 Reorder the terms: 11.66666667 + -11.66666667 + -4r + r2 = 0 + -11.66666667 Combine like terms: 11.66666667 + -11.66666667 = 0.00000000 0.00000000 + -4r + r2 = 0 + -11.66666667 -4r + r2 = 0 + -11.66666667 Combine like terms: 0 + -11.66666667 = -11.66666667 -4r + r2 = -11.66666667 The r term is -4r. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4r + 4 + r2 = -11.66666667 + 4 Reorder the terms: 4 + -4r + r2 = -11.66666667 + 4 Combine like terms: -11.66666667 + 4 = -7.66666667 4 + -4r + r2 = -7.66666667 Factor a perfect square on the left side: (r + -2)(r + -2) = -7.66666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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