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Simplifying 2x(x + -1) = 3x + -28 Reorder the terms: 2x(-1 + x) = 3x + -28 (-1 * 2x + x * 2x) = 3x + -28 (-2x + 2x2) = 3x + -28 Reorder the terms: -2x + 2x2 = -28 + 3x Solving -2x + 2x2 = -28 + 3x Solving for variable 'x'. Reorder the terms: 28 + -2x + -3x + 2x2 = -28 + 3x + 28 + -3x Combine like terms: -2x + -3x = -5x 28 + -5x + 2x2 = -28 + 3x + 28 + -3x Reorder the terms: 28 + -5x + 2x2 = -28 + 28 + 3x + -3x Combine like terms: -28 + 28 = 0 28 + -5x + 2x2 = 0 + 3x + -3x 28 + -5x + 2x2 = 3x + -3x Combine like terms: 3x + -3x = 0 28 + -5x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 14 + -2.5x + x2 = 0 Move the constant term to the right: Add '-14' to each side of the equation. 14 + -2.5x + -14 + x2 = 0 + -14 Reorder the terms: 14 + -14 + -2.5x + x2 = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -2.5x + x2 = 0 + -14 -2.5x + x2 = 0 + -14 Combine like terms: 0 + -14 = -14 -2.5x + x2 = -14 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 = -14 + 1.5625 Reorder the terms: 1.5625 + -2.5x + x2 = -14 + 1.5625 Combine like terms: -14 + 1.5625 = -12.4375 1.5625 + -2.5x + x2 = -12.4375 Factor a perfect square on the left side: (x + -1.25)(x + -1.25) = -12.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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