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Simplifying (x + -3)(x + -8) = 6 Reorder the terms: (-3 + x)(x + -8) = 6 Reorder the terms: (-3 + x)(-8 + x) = 6 Multiply (-3 + x) * (-8 + x) (-3(-8 + x) + x(-8 + x)) = 6 ((-8 * -3 + x * -3) + x(-8 + x)) = 6 ((24 + -3x) + x(-8 + x)) = 6 (24 + -3x + (-8 * x + x * x)) = 6 (24 + -3x + (-8x + x2)) = 6 Combine like terms: -3x + -8x = -11x (24 + -11x + x2) = 6 Solving 24 + -11x + x2 = 6 Solving for variable 'x'. Reorder the terms: 24 + -6 + -11x + x2 = 6 + -6 Combine like terms: 24 + -6 = 18 18 + -11x + x2 = 6 + -6 Combine like terms: 6 + -6 = 0 18 + -11x + x2 = 0 Factor a trinomial. (2 + -1x)(9 + -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 '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {2, 9}
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