5x^3+6x^2y=0

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Solution for 5x^3+6x^2y=0 equation: 


Simplifying
5x3 + 6x2y = 0

Reorder the terms:
6x2y + 5x3 = 0

Solving
6x2y + 5x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(6y + 5x) = 0


Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(6y + 5x)' equal to zero and attempt to solve:

Simplifying
6y + 5x = 0

Reorder the terms:
5x + 6y = 0

Solving
5x + 6y = 0

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

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

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

Divide each side by '5'.
x = -1.2y

Simplifying
x = -1.2y
Solution
x = {0, -1.2y}

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