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Simplifying 0.03x2 + -33x + 15000 = 780 Reorder the terms: 15000 + -33x + 0.03x2 = 780 Solving 15000 + -33x + 0.03x2 = 780 Solving for variable 'x'. Reorder the terms: 15000 + -780 + -33x + 0.03x2 = 780 + -780 Combine like terms: 15000 + -780 = 14220 14220 + -33x + 0.03x2 = 780 + -780 Combine like terms: 780 + -780 = 0 14220 + -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'. 474000 + -1100x + x2 = 0 Move the constant term to the right: Add '-474000' to each side of the equation. 474000 + -1100x + -474000 + x2 = 0 + -474000 Reorder the terms: 474000 + -474000 + -1100x + x2 = 0 + -474000 Combine like terms: 474000 + -474000 = 0 0 + -1100x + x2 = 0 + -474000 -1100x + x2 = 0 + -474000 Combine like terms: 0 + -474000 = -474000 -1100x + x2 = -474000 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 = -474000 + 302500 Reorder the terms: 302500 + -1100x + x2 = -474000 + 302500 Combine like terms: -474000 + 302500 = -171500 302500 + -1100x + x2 = -171500 Factor a perfect square on the left side: (x + -550)(x + -550) = -171500 Can't calculate square root of the right side. The solution to this equation could not be determined.
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