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Simplifying 72000 + 60x = 200x + -0.33x2 Solving 72000 + 60x = 200x + -0.33x2 Solving for variable 'x'. Combine like terms: 60x + -200x = -140x 72000 + -140x + 0.33x2 = 200x + -0.33x2 + -200x + 0.33x2 Reorder the terms: 72000 + -140x + 0.33x2 = 200x + -200x + -0.33x2 + 0.33x2 Combine like terms: 200x + -200x = 0 72000 + -140x + 0.33x2 = 0 + -0.33x2 + 0.33x2 72000 + -140x + 0.33x2 = -0.33x2 + 0.33x2 Combine like terms: -0.33x2 + 0.33x2 = 0.00 72000 + -140x + 0.33x2 = 0.00 Begin completing the square. Divide all terms by 0.33 the coefficient of the squared term: Divide each side by '0.33'. 218181.8182 + -424.2424242x + x2 = 0 Move the constant term to the right: Add '-218181.8182' to each side of the equation. 218181.8182 + -424.2424242x + -218181.8182 + x2 = 0 + -218181.8182 Reorder the terms: 218181.8182 + -218181.8182 + -424.2424242x + x2 = 0 + -218181.8182 Combine like terms: 218181.8182 + -218181.8182 = 0.0000 0.0000 + -424.2424242x + x2 = 0 + -218181.8182 -424.2424242x + x2 = 0 + -218181.8182 Combine like terms: 0 + -218181.8182 = -218181.8182 -424.2424242x + x2 = -218181.8182 The x term is -424.2424242x. Take half its coefficient (-212.1212121). Square it (44995.40862) and add it to both sides. Add '44995.40862' to each side of the equation. -424.2424242x + 44995.40862 + x2 = -218181.8182 + 44995.40862 Reorder the terms: 44995.40862 + -424.2424242x + x2 = -218181.8182 + 44995.40862 Combine like terms: -218181.8182 + 44995.40862 = -173186.40958 44995.40862 + -424.2424242x + x2 = -173186.40958 Factor a perfect square on the left side: (x + -212.1212121)(x + -212.1212121) = -173186.40958 Can't calculate square root of the right side. The solution to this equation could not be determined.
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