4y(2x+4)-2x(2y-5)=

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


Simplifying
4y(2x + 4) + -2x(2y + -5) = 0

Reorder the terms:
4y(4 + 2x) + -2x(2y + -5) = 0
(4 * 4y + 2x * 4y) + -2x(2y + -5) = 0

Reorder the terms:
(8xy + 16y) + -2x(2y + -5) = 0
(8xy + 16y) + -2x(2y + -5) = 0

Reorder the terms:
8xy + 16y + -2x(-5 + 2y) = 0
8xy + 16y + (-5 * -2x + 2y * -2x) = 0
8xy + 16y + (10x + -4xy) = 0

Reorder the terms:
10x + 8xy + -4xy + 16y = 0

Combine like terms: 8xy + -4xy = 4xy
10x + 4xy + 16y = 0

Solving
10x + 4xy + 16y = 0

Solving for variable 'x'.

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

Add '-16y' to each side of the equation.
10x + 4xy + 16y + -16y = 0 + -16y

Combine like terms: 16y + -16y = 0
10x + 4xy + 0 = 0 + -16y
10x + 4xy = 0 + -16y
Remove the zero:
10x + 4xy = -16y

Combine like terms: -16y + 16y = 0
10x + 4xy + 16y = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(5x + 2xy + 8y) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(5x + 2xy + 8y)' equal to zero and attempt to solve:

Simplifying
5x + 2xy + 8y = 0

Solving
5x + 2xy + 8y = 0

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

Add '-8y' to each side of the equation.
5x + 2xy + 8y + -8y = 0 + -8y

Combine like terms: 8y + -8y = 0
5x + 2xy + 0 = 0 + -8y
5x + 2xy = 0 + -8y
Remove the zero:
5x + 2xy = -8y

The solution to this equation could not be determined.

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

The solution to this equation could not be determined.

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