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Simplifying -11w2 = -1(10w + -8) Reorder the terms: -11w2 = -1(-8 + 10w) -11w2 = (-8 * -1 + 10w * -1) -11w2 = (8 + -10w) Solving -11w2 = 8 + -10w Solving for variable 'w'. Reorder the terms: -8 + 10w + -11w2 = 8 + -10w + -8 + 10w Reorder the terms: -8 + 10w + -11w2 = 8 + -8 + -10w + 10w Combine like terms: 8 + -8 = 0 -8 + 10w + -11w2 = 0 + -10w + 10w -8 + 10w + -11w2 = -10w + 10w Combine like terms: -10w + 10w = 0 -8 + 10w + -11w2 = 0 Begin completing the square. Divide all terms by -11 the coefficient of the squared term: Divide each side by '-11'. 0.7272727273 + -0.9090909091w + w2 = 0 Move the constant term to the right: Add '-0.7272727273' to each side of the equation. 0.7272727273 + -0.9090909091w + -0.7272727273 + w2 = 0 + -0.7272727273 Reorder the terms: 0.7272727273 + -0.7272727273 + -0.9090909091w + w2 = 0 + -0.7272727273 Combine like terms: 0.7272727273 + -0.7272727273 = 0.0000000000 0.0000000000 + -0.9090909091w + w2 = 0 + -0.7272727273 -0.9090909091w + w2 = 0 + -0.7272727273 Combine like terms: 0 + -0.7272727273 = -0.7272727273 -0.9090909091w + w2 = -0.7272727273 The w term is -0.9090909091w. Take half its coefficient (-0.4545454546). Square it (0.2066115703) and add it to both sides. Add '0.2066115703' to each side of the equation. -0.9090909091w + 0.2066115703 + w2 = -0.7272727273 + 0.2066115703 Reorder the terms: 0.2066115703 + -0.9090909091w + w2 = -0.7272727273 + 0.2066115703 Combine like terms: -0.7272727273 + 0.2066115703 = -0.520661157 0.2066115703 + -0.9090909091w + w2 = -0.520661157 Factor a perfect square on the left side: (w + -0.4545454546)(w + -0.4545454546) = -0.520661157 Can't calculate square root of the right side. The solution to this equation could not be determined.
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