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Simplifying (x + -1)(x + 5) = x * 2 + 4x + -2 Reorder the terms: (-1 + x)(x + 5) = x * 2 + 4x + -2 Reorder the terms: (-1 + x)(5 + x) = x * 2 + 4x + -2 Multiply (-1 + x) * (5 + x) (-1(5 + x) + x(5 + x)) = x * 2 + 4x + -2 ((5 * -1 + x * -1) + x(5 + x)) = x * 2 + 4x + -2 ((-5 + -1x) + x(5 + x)) = x * 2 + 4x + -2 (-5 + -1x + (5 * x + x * x)) = x * 2 + 4x + -2 (-5 + -1x + (5x + x2)) = x * 2 + 4x + -2 Combine like terms: -1x + 5x = 4x (-5 + 4x + x2) = x * 2 + 4x + -2 Reorder the terms for easier multiplication: -5 + 4x + x2 = 2x + 4x + -2 Reorder the terms: -5 + 4x + x2 = -2 + 2x + 4x Combine like terms: 2x + 4x = 6x -5 + 4x + x2 = -2 + 6x Solving -5 + 4x + x2 = -2 + 6x Solving for variable 'x'. Reorder the terms: -5 + 2 + 4x + -6x + x2 = -2 + 6x + 2 + -6x Combine like terms: -5 + 2 = -3 -3 + 4x + -6x + x2 = -2 + 6x + 2 + -6x Combine like terms: 4x + -6x = -2x -3 + -2x + x2 = -2 + 6x + 2 + -6x Reorder the terms: -3 + -2x + x2 = -2 + 2 + 6x + -6x Combine like terms: -2 + 2 = 0 -3 + -2x + x2 = 0 + 6x + -6x -3 + -2x + x2 = 6x + -6x Combine like terms: 6x + -6x = 0 -3 + -2x + x2 = 0 Factor a trinomial. (-1 + -1x)(3 + -1x) = 0Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {-1, 3}
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