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Simplifying (4x + -3)(x + -8) = 0 Reorder the terms: (-3 + 4x)(x + -8) = 0 Reorder the terms: (-3 + 4x)(-8 + x) = 0 Multiply (-3 + 4x) * (-8 + x) (-3(-8 + x) + 4x * (-8 + x)) = 0 ((-8 * -3 + x * -3) + 4x * (-8 + x)) = 0 ((24 + -3x) + 4x * (-8 + x)) = 0 (24 + -3x + (-8 * 4x + x * 4x)) = 0 (24 + -3x + (-32x + 4x2)) = 0 Combine like terms: -3x + -32x = -35x (24 + -35x + 4x2) = 0 Solving 24 + -35x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -4x)(8 + -1x) = 0Subproblem 1
Set the factor '(3 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 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 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75Subproblem 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 = {0.75, 8}
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