-4xy(3x-5y)-4x^2(2y-9)=

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Solution for -4xy(3x-5y)-4x^2(2y-9)= equation: 


Simplifying
-4xy(3x + -5y) + -4x2(2y + -9) = 0
(3x * -4xy + -5y * -4xy) + -4x2(2y + -9) = 0

Reorder the terms:
(20xy2 + -12x2y) + -4x2(2y + -9) = 0
(20xy2 + -12x2y) + -4x2(2y + -9) = 0

Reorder the terms:
20xy2 + -12x2y + -4x2(-9 + 2y) = 0
20xy2 + -12x2y + (-9 * -4x2 + 2y * -4x2) = 0
20xy2 + -12x2y + (36x2 + -8x2y) = 0

Reorder the terms:
20xy2 + 36x2 + -12x2y + -8x2y = 0

Combine like terms: -12x2y + -8x2y = -20x2y
20xy2 + 36x2 + -20x2y = 0

Solving
20xy2 + 36x2 + -20x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(5y2 + 9x + -5xy) = 0

Ignore the factor 4.

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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(5y2 + 9x + -5xy)' equal to zero and attempt to solve:

Simplifying
5y2 + 9x + -5xy = 0

Reorder the terms:
9x + -5xy + 5y2 = 0

Solving
9x + -5xy + 5y2 = 0

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

Add '-5y2' to each side of the equation.
9x + -5xy + 5y2 + -5y2 = 0 + -5y2

Combine like terms: 5y2 + -5y2 = 0
9x + -5xy + 0 = 0 + -5y2
9x + -5xy = 0 + -5y2
Remove the zero:
9x + -5xy = -5y2

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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