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Simplifying (x + -1) * 2 + -1(5 + -1x)(x + -1) = 0 Reorder the terms: (-1 + x) * 2 + -1(5 + -1x)(x + -1) = 0 Reorder the terms for easier multiplication: 2(-1 + x) + -1(5 + -1x)(x + -1) = 0 (-1 * 2 + x * 2) + -1(5 + -1x)(x + -1) = 0 (-2 + 2x) + -1(5 + -1x)(x + -1) = 0 Reorder the terms: -2 + 2x + -1(5 + -1x)(-1 + x) = 0 Multiply (5 + -1x) * (-1 + x) -2 + 2x + -1(5(-1 + x) + -1x * (-1 + x)) = 0 -2 + 2x + -1((-1 * 5 + x * 5) + -1x * (-1 + x)) = 0 -2 + 2x + -1((-5 + 5x) + -1x * (-1 + x)) = 0 -2 + 2x + -1(-5 + 5x + (-1 * -1x + x * -1x)) = 0 -2 + 2x + -1(-5 + 5x + (1x + -1x2)) = 0 Combine like terms: 5x + 1x = 6x -2 + 2x + -1(-5 + 6x + -1x2) = 0 -2 + 2x + (-5 * -1 + 6x * -1 + -1x2 * -1) = 0 -2 + 2x + (5 + -6x + 1x2) = 0 Reorder the terms: -2 + 5 + 2x + -6x + 1x2 = 0 Combine like terms: -2 + 5 = 3 3 + 2x + -6x + 1x2 = 0 Combine like terms: 2x + -6x = -4x 3 + -4x + 1x2 = 0 Solving 3 + -4x + 1x2 = 0 Solving for variable 'x'. 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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