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Simplifying 3w(3w + -4) = -20 Reorder the terms: 3w(-4 + 3w) = -20 (-4 * 3w + 3w * 3w) = -20 (-12w + 9w2) = -20 Solving -12w + 9w2 = -20 Solving for variable 'w'. Reorder the terms: 20 + -12w + 9w2 = -20 + 20 Combine like terms: -20 + 20 = 0 20 + -12w + 9w2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 2.222222222 + -1.333333333w + w2 = 0 Move the constant term to the right: Add '-2.222222222' to each side of the equation. 2.222222222 + -1.333333333w + -2.222222222 + w2 = 0 + -2.222222222 Reorder the terms: 2.222222222 + -2.222222222 + -1.333333333w + w2 = 0 + -2.222222222 Combine like terms: 2.222222222 + -2.222222222 = 0.000000000 0.000000000 + -1.333333333w + w2 = 0 + -2.222222222 -1.333333333w + w2 = 0 + -2.222222222 Combine like terms: 0 + -2.222222222 = -2.222222222 -1.333333333w + w2 = -2.222222222 The w term is -1.333333333w. Take half its coefficient (-0.6666666665). Square it (0.4444444442) and add it to both sides. Add '0.4444444442' to each side of the equation. -1.333333333w + 0.4444444442 + w2 = -2.222222222 + 0.4444444442 Reorder the terms: 0.4444444442 + -1.333333333w + w2 = -2.222222222 + 0.4444444442 Combine like terms: -2.222222222 + 0.4444444442 = -1.7777777778 0.4444444442 + -1.333333333w + w2 = -1.7777777778 Factor a perfect square on the left side: (w + -0.6666666665)(w + -0.6666666665) = -1.7777777778 Can't calculate square root of the right side. The solution to this equation could not be determined.
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