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Simplifying 0.03x2 + -33x + 15000 = 0 Reorder the terms: 15000 + -33x + 0.03x2 = 0 Solving 15000 + -33x + 0.03x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.03 the coefficient of the squared term: Divide each side by '0.03'. 500000 + -1100x + x2 = 0 Move the constant term to the right: Add '-500000' to each side of the equation. 500000 + -1100x + -500000 + x2 = 0 + -500000 Reorder the terms: 500000 + -500000 + -1100x + x2 = 0 + -500000 Combine like terms: 500000 + -500000 = 0 0 + -1100x + x2 = 0 + -500000 -1100x + x2 = 0 + -500000 Combine like terms: 0 + -500000 = -500000 -1100x + x2 = -500000 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 = -500000 + 302500 Reorder the terms: 302500 + -1100x + x2 = -500000 + 302500 Combine like terms: -500000 + 302500 = -197500 302500 + -1100x + x2 = -197500 Factor a perfect square on the left side: (x + -550)(x + -550) = -197500 Can't calculate square root of the right side. The solution to this equation could not be determined.
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