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Simplifying -1x2 + 30x = 1100 Reorder the terms: 30x + -1x2 = 1100 Solving 30x + -1x2 = 1100 Solving for variable 'x'. Reorder the terms: -1100 + 30x + -1x2 = 1100 + -1100 Combine like terms: 1100 + -1100 = 0 -1100 + 30x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 1100 + -30x + x2 = 0 Move the constant term to the right: Add '-1100' to each side of the equation. 1100 + -30x + -1100 + x2 = 0 + -1100 Reorder the terms: 1100 + -1100 + -30x + x2 = 0 + -1100 Combine like terms: 1100 + -1100 = 0 0 + -30x + x2 = 0 + -1100 -30x + x2 = 0 + -1100 Combine like terms: 0 + -1100 = -1100 -30x + x2 = -1100 The x term is -30x. Take half its coefficient (-15). Square it (225) and add it to both sides. Add '225' to each side of the equation. -30x + 225 + x2 = -1100 + 225 Reorder the terms: 225 + -30x + x2 = -1100 + 225 Combine like terms: -1100 + 225 = -875 225 + -30x + x2 = -875 Factor a perfect square on the left side: (x + -15)(x + -15) = -875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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