y(y+3x)=10

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Solution for y(y+3x)=10 equation: 


Simplifying
y(y + 3x) = 10

Reorder the terms:
y(3x + y) = 10
(3x * y + y * y) = 10
(3xy + y2) = 10

Solving
3xy + y2 = 10

Solving for variable 'x'.

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

Add '-1y2' to each side of the equation.
3xy + y2 + -1y2 = 10 + -1y2

Combine like terms: y2 + -1y2 = 0
3xy + 0 = 10 + -1y2
3xy = 10 + -1y2

Divide each side by '3y'.
x = 3.333333333y-1 + -0.3333333333y

Simplifying
x = 3.333333333y-1 + -0.3333333333y

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