5x+5y(2x-4)=-20

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Solution for 5x+5y(2x-4)=-20 equation: 


Simplifying
5x + 5y(2x + -4) = -20

Reorder the terms:
5x + 5y(-4 + 2x) = -20
5x + (-4 * 5y + 2x * 5y) = -20

Reorder the terms:
5x + (10xy + -20y) = -20
5x + (10xy + -20y) = -20

Solving
5x + 10xy + -20y = -20

Solving for variable 'x'.

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

Add '20y' to each side of the equation.
5x + 10xy + -20y + 20y = -20 + 20y

Combine like terms: -20y + 20y = 0
5x + 10xy + 0 = -20 + 20y
5x + 10xy = -20 + 20y

Reorder the terms:
20 + 5x + 10xy + -20y = -20 + 20y + 20 + -20y

Reorder the terms:
20 + 5x + 10xy + -20y = -20 + 20 + 20y + -20y

Combine like terms: -20 + 20 = 0
20 + 5x + 10xy + -20y = 0 + 20y + -20y
20 + 5x + 10xy + -20y = 20y + -20y

Combine like terms: 20y + -20y = 0
20 + 5x + 10xy + -20y = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(4 + x + 2xy + -4y) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(4 + x + 2xy + -4y)' equal to zero and attempt to solve:

Simplifying
4 + x + 2xy + -4y = 0

Solving
4 + x + 2xy + -4y = 0

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

Add '-4' to each side of the equation.
4 + x + 2xy + -4 + -4y = 0 + -4

Reorder the terms:
4 + -4 + x + 2xy + -4y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x + 2xy + -4y = 0 + -4
x + 2xy + -4y = 0 + -4

Combine like terms: 0 + -4 = -4
x + 2xy + -4y = -4

Add '4y' to each side of the equation.
x + 2xy + -4y + 4y = -4 + 4y

Combine like terms: -4y + 4y = 0
x + 2xy + 0 = -4 + 4y
x + 2xy = -4 + 4y

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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