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Simplifying -5w + 9 = -6w2 Reorder the terms: 9 + -5w = -6w2 Solving 9 + -5w = -6w2 Solving for variable 'w'. Combine like terms: -6w2 + 6w2 = 0 9 + -5w + 6w2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 1.5 + -0.8333333333w + w2 = 0 Move the constant term to the right: Add '-1.5' to each side of the equation. 1.5 + -0.8333333333w + -1.5 + w2 = 0 + -1.5 Reorder the terms: 1.5 + -1.5 + -0.8333333333w + w2 = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -0.8333333333w + w2 = 0 + -1.5 -0.8333333333w + w2 = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 -0.8333333333w + w2 = -1.5 The w term is -0.8333333333w. Take half its coefficient (-0.4166666667). Square it (0.1736111111) and add it to both sides. Add '0.1736111111' to each side of the equation. -0.8333333333w + 0.1736111111 + w2 = -1.5 + 0.1736111111 Reorder the terms: 0.1736111111 + -0.8333333333w + w2 = -1.5 + 0.1736111111 Combine like terms: -1.5 + 0.1736111111 = -1.3263888889 0.1736111111 + -0.8333333333w + w2 = -1.3263888889 Factor a perfect square on the left side: (w + -0.4166666667)(w + -0.4166666667) = -1.3263888889 Can't calculate square root of the right side. The solution to this equation could not be determined.
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