5x(5y+3x-6xy^2)=0

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Solution for 5x(5y+3x-6xy^2)=0 equation:


Simplifying
5x(5y + 3x + -6xy2) = 0

Reorder the terms:
5x(3x + -6xy2 + 5y) = 0
(3x * 5x + -6xy2 * 5x + 5y * 5x) = 0

Reorder the terms:
(25xy + 15x2 + -30x2y2) = 0
(25xy + 15x2 + -30x2y2) = 0

Solving
25xy + 15x2 + -30x2y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(5y + 3x + -6xy2) = 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 '(5y + 3x + -6xy2)' equal to zero and attempt to solve:

Simplifying
5y + 3x + -6xy2 = 0

Reorder the terms:
3x + -6xy2 + 5y = 0

Solving
3x + -6xy2 + 5y = 0

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

Add '-5y' to each side of the equation.
3x + -6xy2 + 5y + -5y = 0 + -5y

Combine like terms: 5y + -5y = 0
3x + -6xy2 + 0 = 0 + -5y
3x + -6xy2 = 0 + -5y
Remove the zero:
3x + -6xy2 = -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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