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Simplifying 12x2 + -3x + 9x + -17x2 + 5x + -11 = 100 Reorder the terms: -11 + -3x + 9x + 5x + 12x2 + -17x2 = 100 Combine like terms: -3x + 9x = 6x -11 + 6x + 5x + 12x2 + -17x2 = 100 Combine like terms: 6x + 5x = 11x -11 + 11x + 12x2 + -17x2 = 100 Combine like terms: 12x2 + -17x2 = -5x2 -11 + 11x + -5x2 = 100 Solving -11 + 11x + -5x2 = 100 Solving for variable 'x'. Reorder the terms: -11 + -100 + 11x + -5x2 = 100 + -100 Combine like terms: -11 + -100 = -111 -111 + 11x + -5x2 = 100 + -100 Combine like terms: 100 + -100 = 0 -111 + 11x + -5x2 = 0 Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 22.2 + -2.2x + x2 = 0 Move the constant term to the right: Add '-22.2' to each side of the equation. 22.2 + -2.2x + -22.2 + x2 = 0 + -22.2 Reorder the terms: 22.2 + -22.2 + -2.2x + x2 = 0 + -22.2 Combine like terms: 22.2 + -22.2 = 0.0 0.0 + -2.2x + x2 = 0 + -22.2 -2.2x + x2 = 0 + -22.2 Combine like terms: 0 + -22.2 = -22.2 -2.2x + x2 = -22.2 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 = -22.2 + 1.21 Reorder the terms: 1.21 + -2.2x + x2 = -22.2 + 1.21 Combine like terms: -22.2 + 1.21 = -20.99 1.21 + -2.2x + x2 = -20.99 Factor a perfect square on the left side: (x + -1.1)(x + -1.1) = -20.99 Can't calculate square root of the right side. The solution to this equation could not be determined.
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