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Simplifying (2 + -1x)(x + 4) = -4(x + -18) Reorder the terms: (2 + -1x)(4 + x) = -4(x + -18) Multiply (2 + -1x) * (4 + x) (2(4 + x) + -1x * (4 + x)) = -4(x + -18) ((4 * 2 + x * 2) + -1x * (4 + x)) = -4(x + -18) ((8 + 2x) + -1x * (4 + x)) = -4(x + -18) (8 + 2x + (4 * -1x + x * -1x)) = -4(x + -18) (8 + 2x + (-4x + -1x2)) = -4(x + -18) Combine like terms: 2x + -4x = -2x (8 + -2x + -1x2) = -4(x + -18) Reorder the terms: 8 + -2x + -1x2 = -4(-18 + x) 8 + -2x + -1x2 = (-18 * -4 + x * -4) 8 + -2x + -1x2 = (72 + -4x) Solving 8 + -2x + -1x2 = 72 + -4x Solving for variable 'x'. Reorder the terms: 8 + -72 + -2x + 4x + -1x2 = 72 + -4x + -72 + 4x Combine like terms: 8 + -72 = -64 -64 + -2x + 4x + -1x2 = 72 + -4x + -72 + 4x Combine like terms: -2x + 4x = 2x -64 + 2x + -1x2 = 72 + -4x + -72 + 4x Reorder the terms: -64 + 2x + -1x2 = 72 + -72 + -4x + 4x Combine like terms: 72 + -72 = 0 -64 + 2x + -1x2 = 0 + -4x + 4x -64 + 2x + -1x2 = -4x + 4x Combine like terms: -4x + 4x = 0 -64 + 2x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 64 + -2x + x2 = 0 Move the constant term to the right: Add '-64' to each side of the equation. 64 + -2x + -64 + x2 = 0 + -64 Reorder the terms: 64 + -64 + -2x + x2 = 0 + -64 Combine like terms: 64 + -64 = 0 0 + -2x + x2 = 0 + -64 -2x + x2 = 0 + -64 Combine like terms: 0 + -64 = -64 -2x + x2 = -64 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = -64 + 1 Reorder the terms: 1 + -2x + x2 = -64 + 1 Combine like terms: -64 + 1 = -63 1 + -2x + x2 = -63 Factor a perfect square on the left side: (x + -1)(x + -1) = -63 Can't calculate square root of the right side. The solution to this equation could not be determined.
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