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

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


Simplifying
5x2(2x3 + 3y) = 0
(2x3 * 5x2 + 3y * 5x2) = 0

Reorder the terms:
(15x2y + 10x5) = 0
(15x2y + 10x5) = 0

Solving
15x2y + 10x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x2'.
5x2(3y + 2x3) = 0

Ignore the factor 5.

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 '(3y + 2x3)' equal to zero and attempt to solve:

Simplifying
3y + 2x3 = 0

Reorder the terms:
2x3 + 3y = 0

Solving
2x3 + 3y = 0

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

Add '-3y' to each side of the equation.
2x3 + 3y + -3y = 0 + -3y

Combine like terms: 3y + -3y = 0
2x3 + 0 = 0 + -3y
2x3 = 0 + -3y
Remove the zero:
2x3 = -3y

Divide each side by '2'.
x3 = -1.5y

Simplifying
x3 = -1.5y

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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