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Simplifying (X + 5)(x + -1a) = x2 Reorder the terms: (5 + X)(x + -1a) = x2 Reorder the terms: (5 + X)(-1a + x) = x2 Multiply (5 + X) * (-1a + x) (5(-1a + x) + X(-1a + x)) = x2 ((-1a * 5 + x * 5) + X(-1a + x)) = x2 ((-5a + 5x) + X(-1a + x)) = x2 (-5a + 5x + (-1a * X + x * X)) = x2 (-5a + 5x + (-1aX + xX)) = x2 Reorder the terms: (-5a + -1aX + 5x + xX) = x2 (-5a + -1aX + 5x + xX) = x2 Solving -5a + -1aX + 5x + xX = x2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5x' to each side of the equation. -5a + -1aX + 5x + -5x + xX = -5x + x2 Combine like terms: 5x + -5x = 0 -5a + -1aX + 0 + xX = -5x + x2 -5a + -1aX + xX = -5x + x2 Add '-1xX' to each side of the equation. -5a + -1aX + xX + -1xX = -5x + -1xX + x2 Combine like terms: xX + -1xX = 0 -5a + -1aX + 0 = -5x + -1xX + x2 -5a + -1aX = -5x + -1xX + x2 Reorder the terms: -5a + -1aX + 5x + xX + -1x2 = -5x + 5x + -1xX + xX + x2 + -1x2 Combine like terms: -5x + 5x = 0 -5a + -1aX + 5x + xX + -1x2 = 0 + -1xX + xX + x2 + -1x2 -5a + -1aX + 5x + xX + -1x2 = -1xX + xX + x2 + -1x2 Combine like terms: -1xX + xX = 0 -5a + -1aX + 5x + xX + -1x2 = 0 + x2 + -1x2 -5a + -1aX + 5x + xX + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -5a + -1aX + 5x + xX + -1x2 = 0 The solution to this equation could not be determined.
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