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Simplifying (7 + -1x)(1 + -1x) + 18 = 0 Multiply (7 + -1x) * (1 + -1x) (7(1 + -1x) + -1x * (1 + -1x)) + 18 = 0 ((1 * 7 + -1x * 7) + -1x * (1 + -1x)) + 18 = 0 ((7 + -7x) + -1x * (1 + -1x)) + 18 = 0 (7 + -7x + (1 * -1x + -1x * -1x)) + 18 = 0 (7 + -7x + (-1x + 1x2)) + 18 = 0 Combine like terms: -7x + -1x = -8x (7 + -8x + 1x2) + 18 = 0 Reorder the terms: 7 + 18 + -8x + 1x2 = 0 Combine like terms: 7 + 18 = 25 25 + -8x + 1x2 = 0 Solving 25 + -8x + 1x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-25' to each side of the equation. 25 + -8x + -25 + x2 = 0 + -25 Reorder the terms: 25 + -25 + -8x + x2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -8x + x2 = 0 + -25 -8x + x2 = 0 + -25 Combine like terms: 0 + -25 = -25 -8x + x2 = -25 The x term is -8x. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8x + 16 + x2 = -25 + 16 Reorder the terms: 16 + -8x + x2 = -25 + 16 Combine like terms: -25 + 16 = -9 16 + -8x + x2 = -9 Factor a perfect square on the left side: (x + -4)(x + -4) = -9 Can't calculate square root of the right side. The solution to this equation could not be determined.
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