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Simplifying 19w2 + 11w + 14 = 0 Reorder the terms: 14 + 11w + 19w2 = 0 Solving 14 + 11w + 19w2 = 0 Solving for variable 'w'. Begin completing the square. Divide all terms by 19 the coefficient of the squared term: Divide each side by '19'. 0.7368421053 + 0.5789473684w + w2 = 0 Move the constant term to the right: Add '-0.7368421053' to each side of the equation. 0.7368421053 + 0.5789473684w + -0.7368421053 + w2 = 0 + -0.7368421053 Reorder the terms: 0.7368421053 + -0.7368421053 + 0.5789473684w + w2 = 0 + -0.7368421053 Combine like terms: 0.7368421053 + -0.7368421053 = 0.0000000000 0.0000000000 + 0.5789473684w + w2 = 0 + -0.7368421053 0.5789473684w + w2 = 0 + -0.7368421053 Combine like terms: 0 + -0.7368421053 = -0.7368421053 0.5789473684w + w2 = -0.7368421053 The w term is 0.5789473684w. Take half its coefficient (0.2894736842). Square it (0.08379501384) and add it to both sides. Add '0.08379501384' to each side of the equation. 0.5789473684w + 0.08379501384 + w2 = -0.7368421053 + 0.08379501384 Reorder the terms: 0.08379501384 + 0.5789473684w + w2 = -0.7368421053 + 0.08379501384 Combine like terms: -0.7368421053 + 0.08379501384 = -0.65304709146 0.08379501384 + 0.5789473684w + w2 = -0.65304709146 Factor a perfect square on the left side: (w + 0.2894736842)(w + 0.2894736842) = -0.65304709146 Can't calculate square root of the right side. The solution to this equation could not be determined.
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