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Simplifying 6w2 + 13w + 13 = 0 Reorder the terms: 13 + 13w + 6w2 = 0 Solving 13 + 13w + 6w2 = 0 Solving for variable 'w'. Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 2.166666667 + 2.166666667w + w2 = 0 Move the constant term to the right: Add '-2.166666667' to each side of the equation. 2.166666667 + 2.166666667w + -2.166666667 + w2 = 0 + -2.166666667 Reorder the terms: 2.166666667 + -2.166666667 + 2.166666667w + w2 = 0 + -2.166666667 Combine like terms: 2.166666667 + -2.166666667 = 0.000000000 0.000000000 + 2.166666667w + w2 = 0 + -2.166666667 2.166666667w + w2 = 0 + -2.166666667 Combine like terms: 0 + -2.166666667 = -2.166666667 2.166666667w + w2 = -2.166666667 The w term is 2.166666667w. Take half its coefficient (1.083333334). Square it (1.173611113) and add it to both sides. Add '1.173611113' to each side of the equation. 2.166666667w + 1.173611113 + w2 = -2.166666667 + 1.173611113 Reorder the terms: 1.173611113 + 2.166666667w + w2 = -2.166666667 + 1.173611113 Combine like terms: -2.166666667 + 1.173611113 = -0.993055554 1.173611113 + 2.166666667w + w2 = -0.993055554 Factor a perfect square on the left side: (w + 1.083333334)(w + 1.083333334) = -0.993055554 Can't calculate square root of the right side. The solution to this equation could not be determined.
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