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Simplifying 3k2 + 20k + 36 = 0 Reorder the terms: 36 + 20k + 3k2 = 0 Solving 36 + 20k + 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'. 12 + 6.666666667k + k2 = 0 Move the constant term to the right: Add '-12' to each side of the equation. 12 + 6.666666667k + -12 + k2 = 0 + -12 Reorder the terms: 12 + -12 + 6.666666667k + k2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 6.666666667k + k2 = 0 + -12 6.666666667k + k2 = 0 + -12 Combine like terms: 0 + -12 = -12 6.666666667k + k2 = -12 The k term is 6.666666667k. Take half its coefficient (3.333333334). Square it (11.11111112) and add it to both sides. Add '11.11111112' to each side of the equation. 6.666666667k + 11.11111112 + k2 = -12 + 11.11111112 Reorder the terms: 11.11111112 + 6.666666667k + k2 = -12 + 11.11111112 Combine like terms: -12 + 11.11111112 = -0.88888888 11.11111112 + 6.666666667k + k2 = -0.88888888 Factor a perfect square on the left side: (k + 3.333333334)(k + 3.333333334) = -0.88888888 Can't calculate square root of the right side. The solution to this equation could not be determined.
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