30xy^2+12x^2y=5xy(6y+2x)

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Solution for 30xy^2+12x^2y=5xy(6y+2x) equation:


Simplifying
30xy2 + 12x2y = 5xy(6y + 2x)

Reorder the terms:
30xy2 + 12x2y = 5xy(2x + 6y)
30xy2 + 12x2y = (2x * 5xy + 6y * 5xy)

Reorder the terms:
30xy2 + 12x2y = (30xy2 + 10x2y)
30xy2 + 12x2y = (30xy2 + 10x2y)

Add '-30xy2' to each side of the equation.
30xy2 + -30xy2 + 12x2y = 30xy2 + -30xy2 + 10x2y

Combine like terms: 30xy2 + -30xy2 = 0
0 + 12x2y = 30xy2 + -30xy2 + 10x2y
12x2y = 30xy2 + -30xy2 + 10x2y

Combine like terms: 30xy2 + -30xy2 = 0
12x2y = 0 + 10x2y
12x2y = 10x2y

Solving
12x2y = 10x2y

Solving for variable 'x'.

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

Add '-10x2y' to each side of the equation.
12x2y + -10x2y = 10x2y + -10x2y

Combine like terms: 12x2y + -10x2y = 2x2y
2x2y = 10x2y + -10x2y

Combine like terms: 10x2y + -10x2y = 0
2x2y = 0

Divide each side by '2'.
x2y = 0

Simplifying
x2y = 0

The solution to this equation could not be determined.

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