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Simplifying 5r2 + -12r + 35 = 0 Reorder the terms: 35 + -12r + 5r2 = 0 Solving 35 + -12r + 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'. 7 + -2.4r + r2 = 0 Move the constant term to the right: Add '-7' to each side of the equation. 7 + -2.4r + -7 + r2 = 0 + -7 Reorder the terms: 7 + -7 + -2.4r + r2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2.4r + r2 = 0 + -7 -2.4r + r2 = 0 + -7 Combine like terms: 0 + -7 = -7 -2.4r + r2 = -7 The r term is -2.4r. Take half its coefficient (-1.2). Square it (1.44) and add it to both sides. Add '1.44' to each side of the equation. -2.4r + 1.44 + r2 = -7 + 1.44 Reorder the terms: 1.44 + -2.4r + r2 = -7 + 1.44 Combine like terms: -7 + 1.44 = -5.56 1.44 + -2.4r + r2 = -5.56 Factor a perfect square on the left side: (r + -1.2)(r + -1.2) = -5.56 Can't calculate square root of the right side. The solution to this equation could not be determined.
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