3x^2(2y+5x)=0

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


Simplifying
3x2(2y + 5x) = 0

Reorder the terms:
3x2(5x + 2y) = 0
(5x * 3x2 + 2y * 3x2) = 0

Reorder the terms:
(6x2y + 15x3) = 0
(6x2y + 15x3) = 0

Solving
6x2y + 15x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x2'.
3x2(2y + 5x) = 0

Ignore the factor 3.

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 '(2y + 5x)' equal to zero and attempt to solve:

Simplifying
2y + 5x = 0

Reorder the terms:
5x + 2y = 0

Solving
5x + 2y = 0

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

Add '-2y' to each side of the equation.
5x + 2y + -2y = 0 + -2y

Combine like terms: 2y + -2y = 0
5x + 0 = 0 + -2y
5x = 0 + -2y
Remove the zero:
5x = -2y

Divide each side by '5'.
x = -0.4y

Simplifying
x = -0.4y
Solution
x = {0, -0.4y}

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