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Simplifying 3x + -2(x2 + -4x + 2) + -24 = 0 Reorder the terms: 3x + -2(2 + -4x + x2) + -24 = 0 3x + (2 * -2 + -4x * -2 + x2 * -2) + -24 = 0 3x + (-4 + 8x + -2x2) + -24 = 0 Reorder the terms: -4 + -24 + 3x + 8x + -2x2 = 0 Combine like terms: -4 + -24 = -28 -28 + 3x + 8x + -2x2 = 0 Combine like terms: 3x + 8x = 11x -28 + 11x + -2x2 = 0 Solving -28 + 11x + -2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. 14 + -5.5x + x2 = 0 Move the constant term to the right: Add '-14' to each side of the equation. 14 + -5.5x + -14 + x2 = 0 + -14 Reorder the terms: 14 + -14 + -5.5x + x2 = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -5.5x + x2 = 0 + -14 -5.5x + x2 = 0 + -14 Combine like terms: 0 + -14 = -14 -5.5x + x2 = -14 The x term is -5.5x. Take half its coefficient (-2.75). Square it (7.5625) and add it to both sides. Add '7.5625' to each side of the equation. -5.5x + 7.5625 + x2 = -14 + 7.5625 Reorder the terms: 7.5625 + -5.5x + x2 = -14 + 7.5625 Combine like terms: -14 + 7.5625 = -6.4375 7.5625 + -5.5x + x2 = -6.4375 Factor a perfect square on the left side: (x + -2.75)(x + -2.75) = -6.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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