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Simplifying (-2 + -1x)(-2 + a) + -1(4 + -4x + x2) = 2 Multiply (-2 + -1x) * (-2 + a) (-2(-2 + a) + -1x * (-2 + a)) + -1(4 + -4x + x2) = 2 ((-2 * -2 + a * -2) + -1x * (-2 + a)) + -1(4 + -4x + x2) = 2 ((4 + -2a) + -1x * (-2 + a)) + -1(4 + -4x + x2) = 2 (4 + -2a + (-2 * -1x + a * -1x)) + -1(4 + -4x + x2) = 2 Reorder the terms: (4 + -2a + (-1ax + 2x)) + -1(4 + -4x + x2) = 2 (4 + -2a + (-1ax + 2x)) + -1(4 + -4x + x2) = 2 (4 + -2a + -1ax + 2x) + -1(4 + -4x + x2) = 2 4 + -2a + -1ax + 2x + (4 * -1 + -4x * -1 + x2 * -1) = 2 4 + -2a + -1ax + 2x + (-4 + 4x + -1x2) = 2 Reorder the terms: 4 + -4 + -2a + -1ax + 2x + 4x + -1x2 = 2 Combine like terms: 4 + -4 = 0 0 + -2a + -1ax + 2x + 4x + -1x2 = 2 -2a + -1ax + 2x + 4x + -1x2 = 2 Combine like terms: 2x + 4x = 6x -2a + -1ax + 6x + -1x2 = 2 Solving -2a + -1ax + 6x + -1x2 = 2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6x' to each side of the equation. -2a + -1ax + 6x + -6x + -1x2 = 2 + -6x Combine like terms: 6x + -6x = 0 -2a + -1ax + 0 + -1x2 = 2 + -6x -2a + -1ax + -1x2 = 2 + -6x Add 'x2' to each side of the equation. -2a + -1ax + -1x2 + x2 = 2 + -6x + x2 Combine like terms: -1x2 + x2 = 0 -2a + -1ax + 0 = 2 + -6x + x2 -2a + -1ax = 2 + -6x + x2 Reorder the terms: -2 + -2a + -1ax + 6x + -1x2 = 2 + -6x + x2 + -2 + 6x + -1x2 Reorder the terms: -2 + -2a + -1ax + 6x + -1x2 = 2 + -2 + -6x + 6x + x2 + -1x2 Combine like terms: 2 + -2 = 0 -2 + -2a + -1ax + 6x + -1x2 = 0 + -6x + 6x + x2 + -1x2 -2 + -2a + -1ax + 6x + -1x2 = -6x + 6x + x2 + -1x2 Combine like terms: -6x + 6x = 0 -2 + -2a + -1ax + 6x + -1x2 = 0 + x2 + -1x2 -2 + -2a + -1ax + 6x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -2 + -2a + -1ax + 6x + -1x2 = 0 The solution to this equation could not be determined.
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