5y(x+y)=20+3x

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Solution for 5y(x+y)=20+3x equation:


Simplifying
5y(x + y) = 20 + 3x
(x * 5y + y * 5y) = 20 + 3x
(5xy + 5y2) = 20 + 3x

Solving
5xy + 5y2 = 20 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
5xy + -3x + 5y2 = 20 + 3x + -3x

Reorder the terms:
-3x + 5xy + 5y2 = 20 + 3x + -3x

Combine like terms: 3x + -3x = 0
-3x + 5xy + 5y2 = 20 + 0
-3x + 5xy + 5y2 = 20

Add '-5y2' to each side of the equation.
-3x + 5xy + 5y2 + -5y2 = 20 + -5y2

Combine like terms: 5y2 + -5y2 = 0
-3x + 5xy + 0 = 20 + -5y2
-3x + 5xy = 20 + -5y2

Reorder the terms:
-20 + -3x + 5xy + 5y2 = 20 + -5y2 + -20 + 5y2

Reorder the terms:
-20 + -3x + 5xy + 5y2 = 20 + -20 + -5y2 + 5y2

Combine like terms: 20 + -20 = 0
-20 + -3x + 5xy + 5y2 = 0 + -5y2 + 5y2
-20 + -3x + 5xy + 5y2 = -5y2 + 5y2

Combine like terms: -5y2 + 5y2 = 0
-20 + -3x + 5xy + 5y2 = 0

The solution to this equation could not be determined.

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