3x(5y-4)=

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Solution for 3x(5y-4)= equation: 


Simplifying
3x(5y + -4) = 0

Reorder the terms:
3x(-4 + 5y) = 0
(-4 * 3x + 5y * 3x) = 0
(-12x + 15xy) = 0

Solving
-12x + 15xy = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-4 + 5y) = 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 '(-4 + 5y)' equal to zero and attempt to solve:

Simplifying
-4 + 5y = 0

Solving
-4 + 5y = 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 + 5y = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 5y = 0 + 4
5y = 0 + 4

Combine like terms: 0 + 4 = 4
5y = 4

Add '-5y' to each side of the equation.
5y + -5y = 4 + -5y

Combine like terms: 5y + -5y = 0
0 = 4 + -5y

Simplifying
0 = 4 + -5y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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