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Simplifying 3r2 + -13r + 30 = 0 Reorder the terms: 30 + -13r + 3r2 = 0 Solving 30 + -13r + 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'. 10 + -4.333333333r + r2 = 0 Move the constant term to the right: Add '-10' to each side of the equation. 10 + -4.333333333r + -10 + r2 = 0 + -10 Reorder the terms: 10 + -10 + -4.333333333r + r2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -4.333333333r + r2 = 0 + -10 -4.333333333r + r2 = 0 + -10 Combine like terms: 0 + -10 = -10 -4.333333333r + r2 = -10 The r term is -4.333333333r. Take half its coefficient (-2.166666667). Square it (4.694444446) and add it to both sides. Add '4.694444446' to each side of the equation. -4.333333333r + 4.694444446 + r2 = -10 + 4.694444446 Reorder the terms: 4.694444446 + -4.333333333r + r2 = -10 + 4.694444446 Combine like terms: -10 + 4.694444446 = -5.305555554 4.694444446 + -4.333333333r + r2 = -5.305555554 Factor a perfect square on the left side: (r + -2.166666667)(r + -2.166666667) = -5.305555554 Can't calculate square root of the right side. The solution to this equation could not be determined.
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