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Simplifying (x + -5)(x + -1) = -3 Reorder the terms: (-5 + x)(x + -1) = -3 Reorder the terms: (-5 + x)(-1 + x) = -3 Multiply (-5 + x) * (-1 + x) (-5(-1 + x) + x(-1 + x)) = -3 ((-1 * -5 + x * -5) + x(-1 + x)) = -3 ((5 + -5x) + x(-1 + x)) = -3 (5 + -5x + (-1 * x + x * x)) = -3 (5 + -5x + (-1x + x2)) = -3 Combine like terms: -5x + -1x = -6x (5 + -6x + x2) = -3 Solving 5 + -6x + x2 = -3 Solving for variable 'x'. Reorder the terms: 5 + 3 + -6x + x2 = -3 + 3 Combine like terms: 5 + 3 = 8 8 + -6x + x2 = -3 + 3 Combine like terms: -3 + 3 = 0 8 + -6x + x2 = 0 Factor a trinomial. (2 + -1x)(4 + -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 '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {2, 4}
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