(X-3z)(7x-z)=n

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Solution for (X-3z)(7x-z)=n equation: 


Simplifying
(X + -3z)(7x + -1z) = n

Multiply (X + -3z) * (7x + -1z)
(X(7x + -1z) + -3z * (7x + -1z)) = n
((7x * X + -1z * X) + -3z * (7x + -1z)) = n
((7xX + -1zX) + -3z * (7x + -1z)) = n
(7xX + -1zX + (7x * -3z + -1z * -3z)) = n
(7xX + -1zX + (-21xz + 3z2)) = n

Reorder the terms:
(7xX + -21xz + -1zX + 3z2) = n
(7xX + -21xz + -1zX + 3z2) = n

Solving
7xX + -21xz + -1zX + 3z2 = n

Solving for variable 'x'.

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

Add 'zX' to each side of the equation.
7xX + -21xz + -1zX + zX + 3z2 = n + zX

Combine like terms: -1zX + zX = 0
7xX + -21xz + 0 + 3z2 = n + zX
7xX + -21xz + 3z2 = n + zX

Add '-3z2' to each side of the equation.
7xX + -21xz + 3z2 + -3z2 = n + zX + -3z2

Combine like terms: 3z2 + -3z2 = 0
7xX + -21xz + 0 = n + zX + -3z2
7xX + -21xz = n + zX + -3z2

Reorder the terms:
-1n + 7xX + -21xz + -1zX + 3z2 = n + zX + -3z2 + -1n + -1zX + 3z2

Reorder the terms:
-1n + 7xX + -21xz + -1zX + 3z2 = n + -1n + zX + -1zX + -3z2 + 3z2

Combine like terms: n + -1n = 0
-1n + 7xX + -21xz + -1zX + 3z2 = 0 + zX + -1zX + -3z2 + 3z2
-1n + 7xX + -21xz + -1zX + 3z2 = zX + -1zX + -3z2 + 3z2

Combine like terms: zX + -1zX = 0
-1n + 7xX + -21xz + -1zX + 3z2 = 0 + -3z2 + 3z2
-1n + 7xX + -21xz + -1zX + 3z2 = -3z2 + 3z2

Combine like terms: -3z2 + 3z2 = 0
-1n + 7xX + -21xz + -1zX + 3z2 = 0

The solution to this equation could not be determined.

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