3y-15xy+21x=a(y-5xy+7x)

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Solution for 3y-15xy+21x=a(y-5xy+7x) equation:


Simplifying
3y + -15xy + 21x = a(y + -5xy + 7x)

Reorder the terms:
21x + -15xy + 3y = a(y + -5xy + 7x)

Reorder the terms:
21x + -15xy + 3y = a(7x + -5xy + y)
21x + -15xy + 3y = (7x * a + -5xy * a + y * a)
21x + -15xy + 3y = (7ax + -5axy + ay)

Solving
21x + -15xy + 3y = 7ax + -5axy + ay

Solving for variable 'x'.

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

Add '-7ax' to each side of the equation.
21x + -15xy + -7ax + 3y = 7ax + -5axy + -7ax + ay

Reorder the terms:
-7ax + 21x + -15xy + 3y = 7ax + -5axy + -7ax + ay

Reorder the terms:
-7ax + 21x + -15xy + 3y = 7ax + -7ax + -5axy + ay

Combine like terms: 7ax + -7ax = 0
-7ax + 21x + -15xy + 3y = 0 + -5axy + ay
-7ax + 21x + -15xy + 3y = -5axy + ay

Add '5axy' to each side of the equation.
-7ax + 21x + -15xy + 5axy + 3y = -5axy + 5axy + ay

Reorder the terms:
-7ax + 5axy + 21x + -15xy + 3y = -5axy + 5axy + ay

Combine like terms: -5axy + 5axy = 0
-7ax + 5axy + 21x + -15xy + 3y = 0 + ay
-7ax + 5axy + 21x + -15xy + 3y = ay

Add '-3y' to each side of the equation.
-7ax + 5axy + 21x + -15xy + 3y + -3y = ay + -3y

Combine like terms: 3y + -3y = 0
-7ax + 5axy + 21x + -15xy + 0 = ay + -3y
-7ax + 5axy + 21x + -15xy = ay + -3y

Reorder the terms:
-7ax + 5axy + -1ay + 21x + -15xy + 3y = ay + -3y + -1ay + 3y

Reorder the terms:
-7ax + 5axy + -1ay + 21x + -15xy + 3y = ay + -1ay + -3y + 3y

Combine like terms: ay + -1ay = 0
-7ax + 5axy + -1ay + 21x + -15xy + 3y = 0 + -3y + 3y
-7ax + 5axy + -1ay + 21x + -15xy + 3y = -3y + 3y

Combine like terms: -3y + 3y = 0
-7ax + 5axy + -1ay + 21x + -15xy + 3y = 0

The solution to this equation could not be determined.

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