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Simplifying 8w2 + -10w + 7 = 0 Reorder the terms: 7 + -10w + 8w2 = 0 Solving 7 + -10w + 8w2 = 0 Solving for variable 'w'. Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.875 + -1.25w + w2 = 0 Move the constant term to the right: Add '-0.875' to each side of the equation. 0.875 + -1.25w + -0.875 + w2 = 0 + -0.875 Reorder the terms: 0.875 + -0.875 + -1.25w + w2 = 0 + -0.875 Combine like terms: 0.875 + -0.875 = 0.000 0.000 + -1.25w + w2 = 0 + -0.875 -1.25w + w2 = 0 + -0.875 Combine like terms: 0 + -0.875 = -0.875 -1.25w + w2 = -0.875 The w term is -1.25w. Take half its coefficient (-0.625). Square it (0.390625) and add it to both sides. Add '0.390625' to each side of the equation. -1.25w + 0.390625 + w2 = -0.875 + 0.390625 Reorder the terms: 0.390625 + -1.25w + w2 = -0.875 + 0.390625 Combine like terms: -0.875 + 0.390625 = -0.484375 0.390625 + -1.25w + w2 = -0.484375 Factor a perfect square on the left side: (w + -0.625)(w + -0.625) = -0.484375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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