6(2x+3xy)-8x(3-4y)=

Solution for 6(2x+3xy)-8x(3-4y)= equation:

Simplifying
6(2x + 3xy) + -8x(3 + -4y) = 0
(2x * 6 + 3xy * 6) + -8x(3 + -4y) = 0
(12x + 18xy) + -8x(3 + -4y) = 0
12x + 18xy + (3 * -8x + -4y * -8x) = 0
12x + 18xy + (-24x + 32xy) = 0

Reorder the terms:
12x + -24x + 18xy + 32xy = 0

Combine like terms: 12x + -24x = -12x
-12x + 18xy + 32xy = 0

Combine like terms: 18xy + 32xy = 50xy
-12x + 50xy = 0

Solving
-12x + 50xy = 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), '2x'.
2x(-6 + 25y) = 0

Ignore the factor 2.
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 '(-6 + 25y)' equal to zero and attempt to solve:

Simplifying
-6 + 25y = 0

Solving
-6 + 25y = 0

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

Add '6' to each side of the equation.
-6 + 6 + 25y = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 25y = 0 + 6
25y = 0 + 6

Combine like terms: 0 + 6 = 6
25y = 6

Add '-25y' to each side of the equation.
25y + -25y = 6 + -25y

Combine like terms: 25y + -25y = 0
0 = 6 + -25y

Simplifying
0 = 6 + -25y

The solution to this equation could not be determined.

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