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

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


Simplifying
5x2(x2 + -3xy + y) = 0

Reorder the terms:
5x2(-3xy + x2 + y) = 0
(-3xy * 5x2 + x2 * 5x2 + y * 5x2) = 0

Reorder the terms:
(5x2y + -15x3y + 5x4) = 0
(5x2y + -15x3y + 5x4) = 0

Solving
5x2y + -15x3y + 5x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x2'.
5x2(y + -3xy + x2) = 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 '(y + -3xy + x2)' equal to zero and attempt to solve:

Simplifying
y + -3xy + x2 = 0

Reorder the terms:
-3xy + x2 + y = 0

Solving
-3xy + x2 + y = 0

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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