(13y)(8x+y)=(20x+3y)

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Solution for (13y)(8x+y)=(20x+3y) equation:


Simplifying
(13y)(8x + y) = (20x + 3y)

Remove parenthesis around (13y)
13y(8x + y) = (20x + 3y)
(8x * 13y + y * 13y) = (20x + 3y)
(104xy + 13y2) = (20x + 3y)

Remove parenthesis around (20x + 3y)
104xy + 13y2 = 20x + 3y

Solving
104xy + 13y2 = 20x + 3y

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
104xy + -20x + 13y2 = 20x + -20x + 3y

Reorder the terms:
-20x + 104xy + 13y2 = 20x + -20x + 3y

Combine like terms: 20x + -20x = 0
-20x + 104xy + 13y2 = 0 + 3y
-20x + 104xy + 13y2 = 3y

Add '-13y2' to each side of the equation.
-20x + 104xy + 13y2 + -13y2 = 3y + -13y2

Combine like terms: 13y2 + -13y2 = 0
-20x + 104xy + 0 = 3y + -13y2
-20x + 104xy = 3y + -13y2

Reorder the terms:
-20x + 104xy + -3y + 13y2 = 3y + -3y + -13y2 + 13y2

Combine like terms: 3y + -3y = 0
-20x + 104xy + -3y + 13y2 = 0 + -13y2 + 13y2
-20x + 104xy + -3y + 13y2 = -13y2 + 13y2

Combine like terms: -13y2 + 13y2 = 0
-20x + 104xy + -3y + 13y2 = 0

The solution to this equation could not be determined.

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