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Simplifying 3x2 + 17 + -4x + 3x2 + 9x + 5x = 0 Reorder the terms: 17 + -4x + 9x + 5x + 3x2 + 3x2 = 0 Combine like terms: -4x + 9x = 5x 17 + 5x + 5x + 3x2 + 3x2 = 0 Combine like terms: 5x + 5x = 10x 17 + 10x + 3x2 + 3x2 = 0 Combine like terms: 3x2 + 3x2 = 6x2 17 + 10x + 6x2 = 0 Solving 17 + 10x + 6x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 2.833333333 + 1.666666667x + x2 = 0 Move the constant term to the right: Add '-2.833333333' to each side of the equation. 2.833333333 + 1.666666667x + -2.833333333 + x2 = 0 + -2.833333333 Reorder the terms: 2.833333333 + -2.833333333 + 1.666666667x + x2 = 0 + -2.833333333 Combine like terms: 2.833333333 + -2.833333333 = 0.000000000 0.000000000 + 1.666666667x + x2 = 0 + -2.833333333 1.666666667x + x2 = 0 + -2.833333333 Combine like terms: 0 + -2.833333333 = -2.833333333 1.666666667x + x2 = -2.833333333 The x term is 1.666666667x. Take half its coefficient (0.8333333335). Square it (0.6944444447) and add it to both sides. Add '0.6944444447' to each side of the equation. 1.666666667x + 0.6944444447 + x2 = -2.833333333 + 0.6944444447 Reorder the terms: 0.6944444447 + 1.666666667x + x2 = -2.833333333 + 0.6944444447 Combine like terms: -2.833333333 + 0.6944444447 = -2.1388888883 0.6944444447 + 1.666666667x + x2 = -2.1388888883 Factor a perfect square on the left side: (x + 0.8333333335)(x + 0.8333333335) = -2.1388888883 Can't calculate square root of the right side. The solution to this equation could not be determined.
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