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Simplifying 36w2 + 39w + 75 = -2w + -4 Reorder the terms: 75 + 39w + 36w2 = -2w + -4 Reorder the terms: 75 + 39w + 36w2 = -4 + -2w Solving 75 + 39w + 36w2 = -4 + -2w Solving for variable 'w'. Reorder the terms: 75 + 4 + 39w + 2w + 36w2 = -4 + -2w + 4 + 2w Combine like terms: 75 + 4 = 79 79 + 39w + 2w + 36w2 = -4 + -2w + 4 + 2w Combine like terms: 39w + 2w = 41w 79 + 41w + 36w2 = -4 + -2w + 4 + 2w Reorder the terms: 79 + 41w + 36w2 = -4 + 4 + -2w + 2w Combine like terms: -4 + 4 = 0 79 + 41w + 36w2 = 0 + -2w + 2w 79 + 41w + 36w2 = -2w + 2w Combine like terms: -2w + 2w = 0 79 + 41w + 36w2 = 0 Begin completing the square. Divide all terms by 36 the coefficient of the squared term: Divide each side by '36'. 2.194444444 + 1.138888889w + w2 = 0 Move the constant term to the right: Add '-2.194444444' to each side of the equation. 2.194444444 + 1.138888889w + -2.194444444 + w2 = 0 + -2.194444444 Reorder the terms: 2.194444444 + -2.194444444 + 1.138888889w + w2 = 0 + -2.194444444 Combine like terms: 2.194444444 + -2.194444444 = 0.000000000 0.000000000 + 1.138888889w + w2 = 0 + -2.194444444 1.138888889w + w2 = 0 + -2.194444444 Combine like terms: 0 + -2.194444444 = -2.194444444 1.138888889w + w2 = -2.194444444 The w term is 1.138888889w. Take half its coefficient (0.5694444445). Square it (0.3242669754) and add it to both sides. Add '0.3242669754' to each side of the equation. 1.138888889w + 0.3242669754 + w2 = -2.194444444 + 0.3242669754 Reorder the terms: 0.3242669754 + 1.138888889w + w2 = -2.194444444 + 0.3242669754 Combine like terms: -2.194444444 + 0.3242669754 = -1.8701774686 0.3242669754 + 1.138888889w + w2 = -1.8701774686 Factor a perfect square on the left side: (w + 0.5694444445)(w + 0.5694444445) = -1.8701774686 Can't calculate square root of the right side. The solution to this equation could not be determined.
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