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Simplifying 3x2 + -4x + 2 = x2 + x + -6 Reorder the terms: 2 + -4x + 3x2 = x2 + x + -6 Reorder the terms: 2 + -4x + 3x2 = -6 + x + x2 Solving 2 + -4x + 3x2 = -6 + x + x2 Solving for variable 'x'. Reorder the terms: 2 + 6 + -4x + -1x + 3x2 + -1x2 = -6 + x + x2 + 6 + -1x + -1x2 Combine like terms: 2 + 6 = 8 8 + -4x + -1x + 3x2 + -1x2 = -6 + x + x2 + 6 + -1x + -1x2 Combine like terms: -4x + -1x = -5x 8 + -5x + 3x2 + -1x2 = -6 + x + x2 + 6 + -1x + -1x2 Combine like terms: 3x2 + -1x2 = 2x2 8 + -5x + 2x2 = -6 + x + x2 + 6 + -1x + -1x2 Reorder the terms: 8 + -5x + 2x2 = -6 + 6 + x + -1x + x2 + -1x2 Combine like terms: -6 + 6 = 0 8 + -5x + 2x2 = 0 + x + -1x + x2 + -1x2 8 + -5x + 2x2 = x + -1x + x2 + -1x2 Combine like terms: x + -1x = 0 8 + -5x + 2x2 = 0 + x2 + -1x2 8 + -5x + 2x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 8 + -5x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 4 + -2.5x + x2 = 0 Move the constant term to the right: Add '-4' to each side of the equation. 4 + -2.5x + -4 + x2 = 0 + -4 Reorder the terms: 4 + -4 + -2.5x + x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -2.5x + x2 = 0 + -4 -2.5x + x2 = 0 + -4 Combine like terms: 0 + -4 = -4 -2.5x + x2 = -4 The x term is -2.5x. Take half its coefficient (-1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. -2.5x + 1.5625 + x2 = -4 + 1.5625 Reorder the terms: 1.5625 + -2.5x + x2 = -4 + 1.5625 Combine like terms: -4 + 1.5625 = -2.4375 1.5625 + -2.5x + x2 = -2.4375 Factor a perfect square on the left side: (x + -1.25)(x + -1.25) = -2.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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