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Simplifying 3x(2x + -8) = 0 Reorder the terms: 3x(-8 + 2x) = 0 (-8 * 3x + 2x * 3x) = 0 (-24x + 6x^{2}) = 0 Solving -24x + 6x^{2}= 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6x'. 6x(-4 + x) = 0 Ignore the factor 6.## Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0## Subproblem 2

Set the factor '(-4 + x)' equal to zero and attempt to solve: Simplifying -4 + x = 0 Solving -4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x = 0 + 4 x = 0 + 4 Combine like terms: 0 + 4 = 4 x = 4 Simplifying x = 4## Solution

x = {0, 4}

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