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Simplifying (-3 + x)(8 + x) = 0 Multiply (-3 + x) * (8 + x) (-3(8 + x) + x(8 + x)) = 0 ((8 * -3 + x * -3) + x(8 + x)) = 0 ((-24 + -3x) + x(8 + x)) = 0 (-24 + -3x + (8 * x + x * x)) = 0 (-24 + -3x + (8x + x2)) = 0 Combine like terms: -3x + 8x = 5x (-24 + 5x + x2) = 0 Solving -24 + 5x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-8 + -1x)(3 + -1x) = 0Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve: Simplifying -8 + -1x = 0 Solving -8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 0 + 8 -1x = 0 + 8 Combine like terms: 0 + 8 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8Subproblem 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 = {-8, 3}
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