3x(8x-3)=0

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

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

Reorder the terms:
3x(-3 + 8x) = 0
(-3 * 3x + 8x * 3x) = 0
(-9x + 24x2) = 0

Solving
-9x + 24x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-3 + 8x) = 0

Ignore the factor 3.
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 '(-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 = 0.375
Solution
x = {0, 0.375}