5x(3xy-2)=

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Solution for 5x(3xy-2)= equation: 


Simplifying
5x(3xy + -2) = 0

Reorder the terms:
5x(-2 + 3xy) = 0
(-2 * 5x + 3xy * 5x) = 0
(-10x + 15x2y) = 0

Solving
-10x + 15x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(-2 + 3xy) = 0

Ignore the factor 5.

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 '(-2 + 3xy)' equal to zero and attempt to solve:

Simplifying
-2 + 3xy = 0

Solving
-2 + 3xy = 0

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

Add '2' to each side of the equation.
-2 + 2 + 3xy = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 3xy = 0 + 2
3xy = 0 + 2

Combine like terms: 0 + 2 = 2
3xy = 2

Divide each side by '3y'.
x = 0.6666666667y-1

Simplifying
x = 0.6666666667y-1
Solution
x = {0, 0.6666666667y-1}

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