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Simplifying (x + -1)(x + 5) = x(x) + 4x + -2 Reorder the terms: (-1 + x)(x + 5) = x(x) + 4x + -2 Reorder the terms: (-1 + x)(5 + x) = x(x) + 4x + -2 Multiply (-1 + x) * (5 + x) (-1(5 + x) + x(5 + x)) = x(x) + 4x + -2 ((5 * -1 + x * -1) + x(5 + x)) = x(x) + 4x + -2 ((-5 + -1x) + x(5 + x)) = x(x) + 4x + -2 (-5 + -1x + (5 * x + x * x)) = x(x) + 4x + -2 (-5 + -1x + (5x + x2)) = x(x) + 4x + -2 Combine like terms: -1x + 5x = 4x (-5 + 4x + x2) = x(x) + 4x + -2 Multiply x * x -5 + 4x + x2 = x2 + 4x + -2 Reorder the terms: -5 + 4x + x2 = -2 + 4x + x2 Add '-4x' to each side of the equation. -5 + 4x + -4x + x2 = -2 + 4x + -4x + x2 Combine like terms: 4x + -4x = 0 -5 + 0 + x2 = -2 + 4x + -4x + x2 -5 + x2 = -2 + 4x + -4x + x2 Combine like terms: 4x + -4x = 0 -5 + x2 = -2 + 0 + x2 -5 + x2 = -2 + x2 Add '-1x2' to each side of the equation. -5 + x2 + -1x2 = -2 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -5 + 0 = -2 + x2 + -1x2 -5 = -2 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -5 = -2 + 0 -5 = -2 Solving -5 = -2 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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