(3xy+20)y*10-5=0

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Solution for (3xy+20)y*10-5=0 equation:


Simplifying
(3xy + 20) * y * 10 + -5 = 0

Reorder the terms:
(20 + 3xy) * y * 10 + -5 = 0

Reorder the terms for easier multiplication:
10y(20 + 3xy) + -5 = 0
(20 * 10y + 3xy * 10y) + -5 = 0

Reorder the terms:
(30xy2 + 200y) + -5 = 0
(30xy2 + 200y) + -5 = 0

Reorder the terms:
-5 + 30xy2 + 200y = 0

Solving
-5 + 30xy2 + 200y = 0

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 30xy2 + 5 + 200y = 0 + 5

Reorder the terms:
-5 + 5 + 30xy2 + 200y = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 30xy2 + 200y = 0 + 5
30xy2 + 200y = 0 + 5

Combine like terms: 0 + 5 = 5
30xy2 + 200y = 5

Add '-200y' to each side of the equation.
30xy2 + 200y + -200y = 5 + -200y

Combine like terms: 200y + -200y = 0
30xy2 + 0 = 5 + -200y
30xy2 = 5 + -200y

Divide each side by '30y2'.
x = 0.1666666667y-2 + -6.666666667y-1

Simplifying
x = 0.1666666667y-2 + -6.666666667y-1

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