3x=y(x+y+19)

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Solution for 3x=y(x+y+19) equation:


Simplifying
3x = y(x + y + 19)

Reorder the terms:
3x = y(19 + x + y)
3x = (19 * y + x * y + y * y)

Reorder the terms:
3x = (xy + 19y + y2)
3x = (xy + 19y + y2)

Solving
3x = xy + 19y + y2

Solving for variable 'x'.

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

Add '-1xy' to each side of the equation.
3x + -1xy = xy + 19y + -1xy + y2

Reorder the terms:
3x + -1xy = xy + -1xy + 19y + y2

Combine like terms: xy + -1xy = 0
3x + -1xy = 0 + 19y + y2
3x + -1xy = 19y + y2

Reorder the terms:
3x + -1xy + -19y + -1y2 = 19y + -19y + y2 + -1y2

Combine like terms: 19y + -19y = 0
3x + -1xy + -19y + -1y2 = 0 + y2 + -1y2
3x + -1xy + -19y + -1y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
3x + -1xy + -19y + -1y2 = 0

The solution to this equation could not be determined.

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