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Simplifying 2x(x + -2) = x + -4 Reorder the terms: 2x(-2 + x) = x + -4 (-2 * 2x + x * 2x) = x + -4 (-4x + 2x2) = x + -4 Reorder the terms: -4x + 2x2 = -4 + x Solving -4x + 2x2 = -4 + x Solving for variable 'x'. Reorder the terms: 4 + -4x + -1x + 2x2 = -4 + x + 4 + -1x Combine like terms: -4x + -1x = -5x 4 + -5x + 2x2 = -4 + x + 4 + -1x Reorder the terms: 4 + -5x + 2x2 = -4 + 4 + x + -1x Combine like terms: -4 + 4 = 0 4 + -5x + 2x2 = 0 + x + -1x 4 + -5x + 2x2 = x + -1x Combine like terms: x + -1x = 0 4 + -5x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 2 + -2.5x + x2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + -2.5x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + -2.5x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -2.5x + x2 = 0 + -2 -2.5x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -2.5x + x2 = -2 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 = -2 + 1.5625 Reorder the terms: 1.5625 + -2.5x + x2 = -2 + 1.5625 Combine like terms: -2 + 1.5625 = -0.4375 1.5625 + -2.5x + x2 = -0.4375 Factor a perfect square on the left side: (x + -1.25)(x + -1.25) = -0.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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