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Simplifying [2x + -1(a + -1b)][2x + (a + -1b)] = 0 [2x + (a * -1 + -1b * -1)][2x + (a + -1b)] = 0 [2x + (-1a + 1b)][2x + (a + -1b)] = 0 Reorder the terms: [-1a + 1b + 2x][2x + (a + -1b)] = 0 Remove parenthesis around (a + -1b) [-1a + 1b + 2x][2x + a + -1b] = 0 Reorder the terms: [-1a + 1b + 2x][a + -1b + 2x] = 0 Multiply [-1a + 1b + 2x] * [a + -1b + 2x] [-1a * [a + -1b + 2x] + 1b * [a + -1b + 2x] + 2x * [a + -1b + 2x]] = 0 [[a * -1a + -1b * -1a + 2x * -1a] + 1b * [a + -1b + 2x] + 2x * [a + -1b + 2x]] = 0 Reorder the terms: [[1ab + -2ax + -1a2] + 1b * [a + -1b + 2x] + 2x * [a + -1b + 2x]] = 0 [[1ab + -2ax + -1a2] + 1b * [a + -1b + 2x] + 2x * [a + -1b + 2x]] = 0 [1ab + -2ax + -1a2 + [a * 1b + -1b * 1b + 2x * 1b] + 2x * [a + -1b + 2x]] = 0 Reorder the terms: [1ab + -2ax + -1a2 + [1ab + 2bx + -1b2] + 2x * [a + -1b + 2x]] = 0 [1ab + -2ax + -1a2 + [1ab + 2bx + -1b2] + 2x * [a + -1b + 2x]] = 0 [1ab + -2ax + -1a2 + 1ab + 2bx + -1b2 + [a * 2x + -1b * 2x + 2x * 2x]] = 0 [1ab + -2ax + -1a2 + 1ab + 2bx + -1b2 + [2ax + -2bx + 4x2]] = 0 Reorder the terms: [1ab + 1ab + -2ax + 2ax + -1a2 + 2bx + -2bx + -1b2 + 4x2] = 0 Combine like terms: 1ab + 1ab = 2ab [2ab + -2ax + 2ax + -1a2 + 2bx + -2bx + -1b2 + 4x2] = 0 Combine like terms: -2ax + 2ax = 0 [2ab + 0 + -1a2 + 2bx + -2bx + -1b2 + 4x2] = 0 [2ab + -1a2 + 2bx + -2bx + -1b2 + 4x2] = 0 Combine like terms: 2bx + -2bx = 0 [2ab + -1a2 + 0 + -1b2 + 4x2] = 0 [2ab + -1a2 + -1b2 + 4x2] = 0 Solving 2ab + -1a2 + -1b2 + 4x2 = 0 Solving for variable 'a'. The solution to this equation could not be determined.
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