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Simplifying 0 = -1(x2 + -2x + 4) Reorder the terms: 0 = -1(4 + -2x + x2) 0 = (4 * -1 + -2x * -1 + x2 * -1) 0 = (-4 + 2x + -1x2) Solving 0 = -4 + 2x + -1x2 Solving for variable 'x'. Combine like terms: 0 + 4 = 4 4 + -2x + x2 = -4 + 2x + -1x2 + 4 + -2x + x2 Reorder the terms: 4 + -2x + x2 = -4 + 4 + 2x + -2x + -1x2 + x2 Combine like terms: -4 + 4 = 0 4 + -2x + x2 = 0 + 2x + -2x + -1x2 + x2 4 + -2x + x2 = 2x + -2x + -1x2 + x2 Combine like terms: 2x + -2x = 0 4 + -2x + x2 = 0 + -1x2 + x2 4 + -2x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 4 + -2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-4' to each side of the equation. 4 + -2x + -4 + x2 = 0 + -4 Reorder the terms: 4 + -4 + -2x + x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -2x + x2 = 0 + -4 -2x + x2 = 0 + -4 Combine like terms: 0 + -4 = -4 -2x + x2 = -4 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 = -4 + 1 Reorder the terms: 1 + -2x + x2 = -4 + 1 Combine like terms: -4 + 1 = -3 1 + -2x + x2 = -3 Factor a perfect square on the left side: (x + -1)(x + -1) = -3 Can't calculate square root of the right side. The solution to this equation could not be determined.
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