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Simplifying 11x + 5(12 + -1x2) = 990 11x + (12 * 5 + -1x2 * 5) = 990 11x + (60 + -5x2) = 990 Reorder the terms: 60 + 11x + -5x2 = 990 Solving 60 + 11x + -5x2 = 990 Solving for variable 'x'. Reorder the terms: 60 + -990 + 11x + -5x2 = 990 + -990 Combine like terms: 60 + -990 = -930 -930 + 11x + -5x2 = 990 + -990 Combine like terms: 990 + -990 = 0 -930 + 11x + -5x2 = 0 Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 186 + -2.2x + x2 = 0 Move the constant term to the right: Add '-186' to each side of the equation. 186 + -2.2x + -186 + x2 = 0 + -186 Reorder the terms: 186 + -186 + -2.2x + x2 = 0 + -186 Combine like terms: 186 + -186 = 0 0 + -2.2x + x2 = 0 + -186 -2.2x + x2 = 0 + -186 Combine like terms: 0 + -186 = -186 -2.2x + x2 = -186 The x term is -2.2x. Take half its coefficient (-1.1). Square it (1.21) and add it to both sides. Add '1.21' to each side of the equation. -2.2x + 1.21 + x2 = -186 + 1.21 Reorder the terms: 1.21 + -2.2x + x2 = -186 + 1.21 Combine like terms: -186 + 1.21 = -184.79 1.21 + -2.2x + x2 = -184.79 Factor a perfect square on the left side: (x + -1.1)(x + -1.1) = -184.79 Can't calculate square root of the right side. The solution to this equation could not be determined.
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