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Simplifying 9k2 + 6k + 5 = 0 Reorder the terms: 5 + 6k + 9k2 = 0 Solving 5 + 6k + 9k2 = 0 Solving for variable 'k'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 0.5555555556 + 0.6666666667k + k2 = 0 Move the constant term to the right: Add '-0.5555555556' to each side of the equation. 0.5555555556 + 0.6666666667k + -0.5555555556 + k2 = 0 + -0.5555555556 Reorder the terms: 0.5555555556 + -0.5555555556 + 0.6666666667k + k2 = 0 + -0.5555555556 Combine like terms: 0.5555555556 + -0.5555555556 = 0.0000000000 0.0000000000 + 0.6666666667k + k2 = 0 + -0.5555555556 0.6666666667k + k2 = 0 + -0.5555555556 Combine like terms: 0 + -0.5555555556 = -0.5555555556 0.6666666667k + k2 = -0.5555555556 The k term is 0.6666666667k. Take half its coefficient (0.3333333334). Square it (0.1111111112) and add it to both sides. Add '0.1111111112' to each side of the equation. 0.6666666667k + 0.1111111112 + k2 = -0.5555555556 + 0.1111111112 Reorder the terms: 0.1111111112 + 0.6666666667k + k2 = -0.5555555556 + 0.1111111112 Combine like terms: -0.5555555556 + 0.1111111112 = -0.4444444444 0.1111111112 + 0.6666666667k + k2 = -0.4444444444 Factor a perfect square on the left side: (k + 0.3333333334)(k + 0.3333333334) = -0.4444444444 Can't calculate square root of the right side. The solution to this equation could not be determined.
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