5x(6+5y)=

Solution for 5x(6+5y)= equation:

Simplifying
5x(6 + 5y) = 0
(6 * 5x + 5y * 5x) = 0
(30x + 25xy) = 0

Solving
30x + 25xy = 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), '5x'.
5x(6 + 5y) = 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 '(6 + 5y)' equal to zero and attempt to solve:

Simplifying
6 + 5y = 0

Solving
6 + 5y = 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 + 5y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 5y = 0 + -6
5y = 0 + -6

Combine like terms: 0 + -6 = -6
5y = -6

Add '-5y' to each side of the equation.
5y + -5y = -6 + -5y

Combine like terms: 5y + -5y = 0
0 = -6 + -5y

Simplifying
0 = -6 + -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}