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Simplifying 0.03x2 + -33x + 15000 = 5 Reorder the terms: 15000 + -33x + 0.03x2 = 5 Solving 15000 + -33x + 0.03x2 = 5 Solving for variable 'x'. Reorder the terms: 15000 + -5 + -33x + 0.03x2 = 5 + -5 Combine like terms: 15000 + -5 = 14995 14995 + -33x + 0.03x2 = 5 + -5 Combine like terms: 5 + -5 = 0 14995 + -33x + 0.03x2 = 0 Begin completing the square. Divide all terms by 0.03 the coefficient of the squared term: Divide each side by '0.03'. 499833.3333 + -1100x + x2 = 0 Move the constant term to the right: Add '-499833.3333' to each side of the equation. 499833.3333 + -1100x + -499833.3333 + x2 = 0 + -499833.3333 Reorder the terms: 499833.3333 + -499833.3333 + -1100x + x2 = 0 + -499833.3333 Combine like terms: 499833.3333 + -499833.3333 = 0.0000 0.0000 + -1100x + x2 = 0 + -499833.3333 -1100x + x2 = 0 + -499833.3333 Combine like terms: 0 + -499833.3333 = -499833.3333 -1100x + x2 = -499833.3333 The x term is -1100x. Take half its coefficient (-550). Square it (302500) and add it to both sides. Add '302500' to each side of the equation. -1100x + 302500 + x2 = -499833.3333 + 302500 Reorder the terms: 302500 + -1100x + x2 = -499833.3333 + 302500 Combine like terms: -499833.3333 + 302500 = -197333.3333 302500 + -1100x + x2 = -197333.3333 Factor a perfect square on the left side: (x + -550)(x + -550) = -197333.3333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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