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Simplifying 3x2 + 2x + 17 = 3x + -22 Reorder the terms: 17 + 2x + 3x2 = 3x + -22 Reorder the terms: 17 + 2x + 3x2 = -22 + 3x Solving 17 + 2x + 3x2 = -22 + 3x Solving for variable 'x'. Reorder the terms: 17 + 22 + 2x + -3x + 3x2 = -22 + 3x + 22 + -3x Combine like terms: 17 + 22 = 39 39 + 2x + -3x + 3x2 = -22 + 3x + 22 + -3x Combine like terms: 2x + -3x = -1x 39 + -1x + 3x2 = -22 + 3x + 22 + -3x Reorder the terms: 39 + -1x + 3x2 = -22 + 22 + 3x + -3x Combine like terms: -22 + 22 = 0 39 + -1x + 3x2 = 0 + 3x + -3x 39 + -1x + 3x2 = 3x + -3x Combine like terms: 3x + -3x = 0 39 + -1x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 13 + -0.3333333333x + x2 = 0 Move the constant term to the right: Add '-13' to each side of the equation. 13 + -0.3333333333x + -13 + x2 = 0 + -13 Reorder the terms: 13 + -13 + -0.3333333333x + x2 = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -0.3333333333x + x2 = 0 + -13 -0.3333333333x + x2 = 0 + -13 Combine like terms: 0 + -13 = -13 -0.3333333333x + x2 = -13 The x term is -0.3333333333x. Take half its coefficient (-0.1666666667). Square it (0.02777777779) and add it to both sides. Add '0.02777777779' to each side of the equation. -0.3333333333x + 0.02777777779 + x2 = -13 + 0.02777777779 Reorder the terms: 0.02777777779 + -0.3333333333x + x2 = -13 + 0.02777777779 Combine like terms: -13 + 0.02777777779 = -12.97222222221 0.02777777779 + -0.3333333333x + x2 = -12.97222222221 Factor a perfect square on the left side: (x + -0.1666666667)(x + -0.1666666667) = -12.97222222221 Can't calculate square root of the right side. The solution to this equation could not be determined.
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