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Simplifying -5w2 + 23w + -42 = 0 Reorder the terms: -42 + 23w + -5w2 = 0 Solving -42 + 23w + -5w2 = 0 Solving for variable 'w'. Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 8.4 + -4.6w + w2 = 0 Move the constant term to the right: Add '-8.4' to each side of the equation. 8.4 + -4.6w + -8.4 + w2 = 0 + -8.4 Reorder the terms: 8.4 + -8.4 + -4.6w + w2 = 0 + -8.4 Combine like terms: 8.4 + -8.4 = 0.0 0.0 + -4.6w + w2 = 0 + -8.4 -4.6w + w2 = 0 + -8.4 Combine like terms: 0 + -8.4 = -8.4 -4.6w + w2 = -8.4 The w term is -4.6w. Take half its coefficient (-2.3). Square it (5.29) and add it to both sides. Add '5.29' to each side of the equation. -4.6w + 5.29 + w2 = -8.4 + 5.29 Reorder the terms: 5.29 + -4.6w + w2 = -8.4 + 5.29 Combine like terms: -8.4 + 5.29 = -3.11 5.29 + -4.6w + w2 = -3.11 Factor a perfect square on the left side: (w + -2.3)(w + -2.3) = -3.11 Can't calculate square root of the right side. The solution to this equation could not be determined.
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