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Simplifying 22x + -5x2 = 27 + -3x + 12x Combine like terms: -3x + 12x = 9x 22x + -5x2 = 27 + 9x Solving 22x + -5x2 = 27 + 9x Solving for variable 'x'. Reorder the terms: -27 + 22x + -9x + -5x2 = 27 + 9x + -27 + -9x Combine like terms: 22x + -9x = 13x -27 + 13x + -5x2 = 27 + 9x + -27 + -9x Reorder the terms: -27 + 13x + -5x2 = 27 + -27 + 9x + -9x Combine like terms: 27 + -27 = 0 -27 + 13x + -5x2 = 0 + 9x + -9x -27 + 13x + -5x2 = 9x + -9x Combine like terms: 9x + -9x = 0 -27 + 13x + -5x2 = 0 Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 5.4 + -2.6x + x2 = 0 Move the constant term to the right: Add '-5.4' to each side of the equation. 5.4 + -2.6x + -5.4 + x2 = 0 + -5.4 Reorder the terms: 5.4 + -5.4 + -2.6x + x2 = 0 + -5.4 Combine like terms: 5.4 + -5.4 = 0.0 0.0 + -2.6x + x2 = 0 + -5.4 -2.6x + x2 = 0 + -5.4 Combine like terms: 0 + -5.4 = -5.4 -2.6x + x2 = -5.4 The x term is -2.6x. Take half its coefficient (-1.3). Square it (1.69) and add it to both sides. Add '1.69' to each side of the equation. -2.6x + 1.69 + x2 = -5.4 + 1.69 Reorder the terms: 1.69 + -2.6x + x2 = -5.4 + 1.69 Combine like terms: -5.4 + 1.69 = -3.71 1.69 + -2.6x + x2 = -3.71 Factor a perfect square on the left side: (x + -1.3)(x + -1.3) = -3.71 Can't calculate square root of the right side. The solution to this equation could not be determined.
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