3xy(-x^2-4x^2+5xy^2)=

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


Simplifying
3xy(-1x2 + -4x2 + 5xy2) = 0

Reorder the terms:
3xy(5xy2 + -1x2 + -4x2) = 0

Combine like terms: -1x2 + -4x2 = -5x2
3xy(5xy2 + -5x2) = 0
(5xy2 * 3xy + -5x2 * 3xy) = 0
(15x2y3 + -15x3y) = 0

Solving
15x2y3 + -15x3y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '15x2y'.
15x2y(y2 + -1x) = 0

Ignore the factor 15.

Subproblem 1
Set the factor 'x2y' equal to zero and attempt to solve:

Simplifying
x2y = 0

Solving
x2y = 0

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

Simplifying
x2y = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(y2 + -1x)' equal to zero and attempt to solve:

Simplifying
y2 + -1x = 0

Reorder the terms:
-1x + y2 = 0

Solving
-1x + y2 = 0

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

Add '-1y2' to each side of the equation.
-1x + y2 + -1y2 = 0 + -1y2

Combine like terms: y2 + -1y2 = 0
-1x + 0 = 0 + -1y2
-1x = 0 + -1y2
Remove the zero:
-1x = -1y2

Divide each side by '-1'.
x = y2

Simplifying
x = y2
Solution
x = {y2}

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