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