(3x)(2x-8)=0

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Solution for (3x)(2x-8)=0 equation:


Simplifying
(3x)(2x + -8) = 0

Remove parenthesis around (3x)
3x(2x + -8) = 0

Reorder the terms:
3x(-8 + 2x) = 0
(-8 * 3x + 2x * 3x) = 0
(-24x + 6x2) = 0

Solving
-24x + 6x2 = 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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