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Simplifying 3k2 + -22k + 72 = 0 Reorder the terms: 72 + -22k + 3k2 = 0 Solving 72 + -22k + 3k2 = 0 Solving for variable 'k'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 24 + -7.333333333k + k2 = 0 Move the constant term to the right: Add '-24' to each side of the equation. 24 + -7.333333333k + -24 + k2 = 0 + -24 Reorder the terms: 24 + -24 + -7.333333333k + k2 = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -7.333333333k + k2 = 0 + -24 -7.333333333k + k2 = 0 + -24 Combine like terms: 0 + -24 = -24 -7.333333333k + k2 = -24 The k term is -7.333333333k. Take half its coefficient (-3.666666667). Square it (13.44444445) and add it to both sides. Add '13.44444445' to each side of the equation. -7.333333333k + 13.44444445 + k2 = -24 + 13.44444445 Reorder the terms: 13.44444445 + -7.333333333k + k2 = -24 + 13.44444445 Combine like terms: -24 + 13.44444445 = -10.55555555 13.44444445 + -7.333333333k + k2 = -10.55555555 Factor a perfect square on the left side: (k + -3.666666667)(k + -3.666666667) = -10.55555555 Can't calculate square root of the right side. The solution to this equation could not be determined.
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