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Simplifying 9w2 + -4w + 55 = 0 Reorder the terms: 55 + -4w + 9w2 = 0 Solving 55 + -4w + 9w2 = 0 Solving for variable 'w'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 6.111111111 + -0.4444444444w + w2 = 0 Move the constant term to the right: Add '-6.111111111' to each side of the equation. 6.111111111 + -0.4444444444w + -6.111111111 + w2 = 0 + -6.111111111 Reorder the terms: 6.111111111 + -6.111111111 + -0.4444444444w + w2 = 0 + -6.111111111 Combine like terms: 6.111111111 + -6.111111111 = 0.000000000 0.000000000 + -0.4444444444w + w2 = 0 + -6.111111111 -0.4444444444w + w2 = 0 + -6.111111111 Combine like terms: 0 + -6.111111111 = -6.111111111 -0.4444444444w + w2 = -6.111111111 The w term is -0.4444444444w. Take half its coefficient (-0.2222222222). Square it (0.04938271604) and add it to both sides. Add '0.04938271604' to each side of the equation. -0.4444444444w + 0.04938271604 + w2 = -6.111111111 + 0.04938271604 Reorder the terms: 0.04938271604 + -0.4444444444w + w2 = -6.111111111 + 0.04938271604 Combine like terms: -6.111111111 + 0.04938271604 = -6.06172839496 0.04938271604 + -0.4444444444w + w2 = -6.06172839496 Factor a perfect square on the left side: (w + -0.2222222222)(w + -0.2222222222) = -6.06172839496 Can't calculate square root of the right side. The solution to this equation could not be determined.
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