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Simplifying (-2w2) + 3w + -65 = 0 Reorder the terms: -65 + 3w + (-2w2) = 0 Solving -65 + 3w + (-2w2) = 0 Solving for variable 'w'. Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. 32.5 + -1.5w + w2 = 0 Move the constant term to the right: Add '-32.5' to each side of the equation. 32.5 + -1.5w + -32.5 + w2 = 0 + -32.5 Reorder the terms: 32.5 + -32.5 + -1.5w + w2 = 0 + -32.5 Combine like terms: 32.5 + -32.5 = 0.0 0.0 + -1.5w + w2 = 0 + -32.5 -1.5w + w2 = 0 + -32.5 Combine like terms: 0 + -32.5 = -32.5 -1.5w + w2 = -32.5 The w term is -1.5w. Take half its coefficient (-0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. -1.5w + 0.5625 + w2 = -32.5 + 0.5625 Reorder the terms: 0.5625 + -1.5w + w2 = -32.5 + 0.5625 Combine like terms: -32.5 + 0.5625 = -31.9375 0.5625 + -1.5w + w2 = -31.9375 Factor a perfect square on the left side: ((w) + -0.75)((w) + -0.75) = -31.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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