5x^2(4x^2+4y^3)=

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Solution for 5x^2(4x^2+4y^3)= equation: 


Simplifying
5x2(4x2 + 4y3) = 0
(4x2 * 5x2 + 4y3 * 5x2) = 0

Reorder the terms:
(20x2y3 + 20x4) = 0
(20x2y3 + 20x4) = 0

Solving
20x2y3 + 20x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '20x2'.
20x2(y3 + x2) = 0

Ignore the factor 20.

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 '(y3 + x2)' equal to zero and attempt to solve:

Simplifying
y3 + x2 = 0

Reorder the terms:
x2 + y3 = 0

Solving
x2 + y3 = 0

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

Add '-1y3' to each side of the equation.
x2 + y3 + -1y3 = 0 + -1y3

Combine like terms: y3 + -1y3 = 0
x2 + 0 = 0 + -1y3
x2 = 0 + -1y3
Remove the zero:
x2 = -1y3

Simplifying
x2 = -1y3

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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