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Simplifying -9w2 = -1(10w + -7) Reorder the terms: -9w2 = -1(-7 + 10w) -9w2 = (-7 * -1 + 10w * -1) -9w2 = (7 + -10w) Solving -9w2 = 7 + -10w Solving for variable 'w'. Reorder the terms: -7 + 10w + -9w2 = 7 + -10w + -7 + 10w Reorder the terms: -7 + 10w + -9w2 = 7 + -7 + -10w + 10w Combine like terms: 7 + -7 = 0 -7 + 10w + -9w2 = 0 + -10w + 10w -7 + 10w + -9w2 = -10w + 10w Combine like terms: -10w + 10w = 0 -7 + 10w + -9w2 = 0 Begin completing the square. Divide all terms by -9 the coefficient of the squared term: Divide each side by '-9'. 0.7777777778 + -1.111111111w + w2 = 0 Move the constant term to the right: Add '-0.7777777778' to each side of the equation. 0.7777777778 + -1.111111111w + -0.7777777778 + w2 = 0 + -0.7777777778 Reorder the terms: 0.7777777778 + -0.7777777778 + -1.111111111w + w2 = 0 + -0.7777777778 Combine like terms: 0.7777777778 + -0.7777777778 = 0.0000000000 0.0000000000 + -1.111111111w + w2 = 0 + -0.7777777778 -1.111111111w + w2 = 0 + -0.7777777778 Combine like terms: 0 + -0.7777777778 = -0.7777777778 -1.111111111w + w2 = -0.7777777778 The w term is -1.111111111w. Take half its coefficient (-0.5555555555). Square it (0.3086419752) and add it to both sides. Add '0.3086419752' to each side of the equation. -1.111111111w + 0.3086419752 + w2 = -0.7777777778 + 0.3086419752 Reorder the terms: 0.3086419752 + -1.111111111w + w2 = -0.7777777778 + 0.3086419752 Combine like terms: -0.7777777778 + 0.3086419752 = -0.4691358026 0.3086419752 + -1.111111111w + w2 = -0.4691358026 Factor a perfect square on the left side: (w + -0.5555555555)(w + -0.5555555555) = -0.4691358026 Can't calculate square root of the right side. The solution to this equation could not be determined.
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