# 3x(2x-8)=0

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

Simplifying
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 1Set 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 2Set 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 = 4Solutionx = {0, 4}`

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