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Simplifying (x + -8)(3x + -2) = 0 Reorder the terms: (-8 + x)(3x + -2) = 0 Reorder the terms: (-8 + x)(-2 + 3x) = 0 Multiply (-8 + x) * (-2 + 3x) (-8(-2 + 3x) + x(-2 + 3x)) = 0 ((-2 * -8 + 3x * -8) + x(-2 + 3x)) = 0 ((16 + -24x) + x(-2 + 3x)) = 0 (16 + -24x + (-2 * x + 3x * x)) = 0 (16 + -24x + (-2x + 3x2)) = 0 Combine like terms: -24x + -2x = -26x (16 + -26x + 3x2) = 0 Solving 16 + -26x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + -3x)(8 + -1x) = 0Subproblem 1
Set the factor '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 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 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667Subproblem 2
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 = 8Solution
x = {0.6666666667, 8}
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