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Simplifying 10x2 + -1 + -11x = -11 + -8 Reorder the terms: -1 + -11x + 10x2 = -11 + -8 Combine like terms: -11 + -8 = -19 -1 + -11x + 10x2 = -19 Solving -1 + -11x + 10x2 = -19 Solving for variable 'x'. Reorder the terms: -1 + 19 + -11x + 10x2 = -19 + 19 Combine like terms: -1 + 19 = 18 18 + -11x + 10x2 = -19 + 19 Combine like terms: -19 + 19 = 0 18 + -11x + 10x2 = 0 Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 1.8 + -1.1x + x2 = 0 Move the constant term to the right: Add '-1.8' to each side of the equation. 1.8 + -1.1x + -1.8 + x2 = 0 + -1.8 Reorder the terms: 1.8 + -1.8 + -1.1x + x2 = 0 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + -1.1x + x2 = 0 + -1.8 -1.1x + x2 = 0 + -1.8 Combine like terms: 0 + -1.8 = -1.8 -1.1x + x2 = -1.8 The x term is -1.1x. Take half its coefficient (-0.55). Square it (0.3025) and add it to both sides. Add '0.3025' to each side of the equation. -1.1x + 0.3025 + x2 = -1.8 + 0.3025 Reorder the terms: 0.3025 + -1.1x + x2 = -1.8 + 0.3025 Combine like terms: -1.8 + 0.3025 = -1.4975 0.3025 + -1.1x + x2 = -1.4975 Factor a perfect square on the left side: (x + -0.55)(x + -0.55) = -1.4975 Can't calculate square root of the right side. The solution to this equation could not be determined.
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