5y(3x+4y-8)=

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Solution for 5y(3x+4y-8)= equation: 


Simplifying
5y(3x + 4y + -8) = 0

Reorder the terms:
5y(-8 + 3x + 4y) = 0
(-8 * 5y + 3x * 5y + 4y * 5y) = 0

Reorder the terms:
(15xy + -40y + 20y2) = 0
(15xy + -40y + 20y2) = 0

Solving
15xy + -40y + 20y2 = 0

Solving for variable 'x'.

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

Add '40y' to each side of the equation.
15xy + -40y + 40y + 20y2 = 0 + 40y

Combine like terms: -40y + 40y = 0
15xy + 0 + 20y2 = 0 + 40y
15xy + 20y2 = 0 + 40y
Remove the zero:
15xy + 20y2 = 40y

Add '-20y2' to each side of the equation.
15xy + 20y2 + -20y2 = 40y + -20y2

Combine like terms: 20y2 + -20y2 = 0
15xy + 0 = 40y + -20y2
15xy = 40y + -20y2

Divide each side by '15y'.
x = 2.666666667 + -1.333333333y

Simplifying
x = 2.666666667 + -1.333333333y

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