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Simplifying 4w2 = 7w + -10 Reorder the terms: 4w2 = -10 + 7w Solving 4w2 = -10 + 7w Solving for variable 'w'. Reorder the terms: 10 + -7w + 4w2 = -10 + 7w + 10 + -7w Reorder the terms: 10 + -7w + 4w2 = -10 + 10 + 7w + -7w Combine like terms: -10 + 10 = 0 10 + -7w + 4w2 = 0 + 7w + -7w 10 + -7w + 4w2 = 7w + -7w Combine like terms: 7w + -7w = 0 10 + -7w + 4w2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 2.5 + -1.75w + w2 = 0 Move the constant term to the right: Add '-2.5' to each side of the equation. 2.5 + -1.75w + -2.5 + w2 = 0 + -2.5 Reorder the terms: 2.5 + -2.5 + -1.75w + w2 = 0 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -1.75w + w2 = 0 + -2.5 -1.75w + w2 = 0 + -2.5 Combine like terms: 0 + -2.5 = -2.5 -1.75w + w2 = -2.5 The w term is -1.75w. Take half its coefficient (-0.875). Square it (0.765625) and add it to both sides. Add '0.765625' to each side of the equation. -1.75w + 0.765625 + w2 = -2.5 + 0.765625 Reorder the terms: 0.765625 + -1.75w + w2 = -2.5 + 0.765625 Combine like terms: -2.5 + 0.765625 = -1.734375 0.765625 + -1.75w + w2 = -1.734375 Factor a perfect square on the left side: (w + -0.875)(w + -0.875) = -1.734375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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