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Simplifying 12x2 + -3x + -4x2 + 17 + 11x = 0 Reorder the terms: 17 + -3x + 11x + 12x2 + -4x2 = 0 Combine like terms: -3x + 11x = 8x 17 + 8x + 12x2 + -4x2 = 0 Combine like terms: 12x2 + -4x2 = 8x2 17 + 8x + 8x2 = 0 Solving 17 + 8x + 8x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 2.125 + x + x2 = 0 Move the constant term to the right: Add '-2.125' to each side of the equation. 2.125 + x + -2.125 + x2 = 0 + -2.125 Reorder the terms: 2.125 + -2.125 + x + x2 = 0 + -2.125 Combine like terms: 2.125 + -2.125 = 0.000 0.000 + x + x2 = 0 + -2.125 x + x2 = 0 + -2.125 Combine like terms: 0 + -2.125 = -2.125 x + x2 = -2.125 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. + 0.25 + x2 = -2.125 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + x2 = -2.125 + 0.25 Combine like terms: -2.125 + 0.25 = -1.875 1.25 + x2 = -1.875 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -1.875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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