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Simplifying -0.1x2 + 11x + -1000 = 0 Reorder the terms: -1000 + 11x + -0.1x2 = 0 Solving -1000 + 11x + -0.1x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -0.1 the coefficient of the squared term: Divide each side by '-0.1'. 10000 + -110x + x2 = 0 Move the constant term to the right: Add '-10000' to each side of the equation. 10000 + -110x + -10000 + x2 = 0 + -10000 Reorder the terms: 10000 + -10000 + -110x + x2 = 0 + -10000 Combine like terms: 10000 + -10000 = 0 0 + -110x + x2 = 0 + -10000 -110x + x2 = 0 + -10000 Combine like terms: 0 + -10000 = -10000 -110x + x2 = -10000 The x term is -110x. Take half its coefficient (-55). Square it (3025) and add it to both sides. Add '3025' to each side of the equation. -110x + 3025 + x2 = -10000 + 3025 Reorder the terms: 3025 + -110x + x2 = -10000 + 3025 Combine like terms: -10000 + 3025 = -6975 3025 + -110x + x2 = -6975 Factor a perfect square on the left side: (x + -55)(x + -55) = -6975 Can't calculate square root of the right side. The solution to this equation could not be determined.
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