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Simplifying 11x + 5(12 + -1x2) = 1000 11x + (12 * 5 + -1x2 * 5) = 1000 11x + (60 + -5x2) = 1000 Reorder the terms: 60 + 11x + -5x2 = 1000 Solving 60 + 11x + -5x2 = 1000 Solving for variable 'x'. Reorder the terms: 60 + -1000 + 11x + -5x2 = 1000 + -1000 Combine like terms: 60 + -1000 = -940 -940 + 11x + -5x2 = 1000 + -1000 Combine like terms: 1000 + -1000 = 0 -940 + 11x + -5x2 = 0 Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 188 + -2.2x + x2 = 0 Move the constant term to the right: Add '-188' to each side of the equation. 188 + -2.2x + -188 + x2 = 0 + -188 Reorder the terms: 188 + -188 + -2.2x + x2 = 0 + -188 Combine like terms: 188 + -188 = 0 0 + -2.2x + x2 = 0 + -188 -2.2x + x2 = 0 + -188 Combine like terms: 0 + -188 = -188 -2.2x + x2 = -188 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 = -188 + 1.21 Reorder the terms: 1.21 + -2.2x + x2 = -188 + 1.21 Combine like terms: -188 + 1.21 = -186.79 1.21 + -2.2x + x2 = -186.79 Factor a perfect square on the left side: (x + -1.1)(x + -1.1) = -186.79 Can't calculate square root of the right side. The solution to this equation could not be determined.
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