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Simplifying (8x + -3)(x + -8) = 0 Reorder the terms: (-3 + 8x)(x + -8) = 0 Reorder the terms: (-3 + 8x)(-8 + x) = 0 Multiply (-3 + 8x) * (-8 + x) (-3(-8 + x) + 8x * (-8 + x)) = 0 ((-8 * -3 + x * -3) + 8x * (-8 + x)) = 0 ((24 + -3x) + 8x * (-8 + x)) = 0 (24 + -3x + (-8 * 8x + x * 8x)) = 0 (24 + -3x + (-64x + 8x2)) = 0 Combine like terms: -3x + -64x = -67x (24 + -67x + 8x2) = 0 Solving 24 + -67x + 8x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -8x)(8 + -1x) = 0Subproblem 1
Set the factor '(3 + -8x)' equal to zero and attempt to solve: Simplifying 3 + -8x = 0 Solving 3 + -8x = 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 + -8x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8x = 0 + -3 -8x = 0 + -3 Combine like terms: 0 + -3 = -3 -8x = -3 Divide each side by '-8'. x = 0.375 Simplifying x = 0.375Subproblem 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 = {0.375, 8}
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