(x+3)(x-y)=z^2+x^2

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Solution for (x+3)(x-y)=z^2+x^2 equation:


Simplifying
(x + 3)(x + -1y) = z2 + x2

Reorder the terms:
(3 + x)(x + -1y) = z2 + x2

Multiply (3 + x) * (x + -1y)
(3(x + -1y) + x(x + -1y)) = z2 + x2
((x * 3 + -1y * 3) + x(x + -1y)) = z2 + x2
((3x + -3y) + x(x + -1y)) = z2 + x2
(3x + -3y + (x * x + -1y * x)) = z2 + x2

Reorder the terms:
(3x + -3y + (-1xy + x2)) = z2 + x2
(3x + -3y + (-1xy + x2)) = z2 + x2

Reorder the terms:
(3x + -1xy + x2 + -3y) = z2 + x2
(3x + -1xy + x2 + -3y) = z2 + x2

Reorder the terms:
3x + -1xy + x2 + -3y = x2 + z2

Add '-1x2' to each side of the equation.
3x + -1xy + x2 + -1x2 + -3y = x2 + -1x2 + z2

Combine like terms: x2 + -1x2 = 0
3x + -1xy + 0 + -3y = x2 + -1x2 + z2
3x + -1xy + -3y = x2 + -1x2 + z2

Combine like terms: x2 + -1x2 = 0
3x + -1xy + -3y = 0 + z2
3x + -1xy + -3y = z2

Solving
3x + -1xy + -3y = z2

Solving for variable 'x'.

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

Add '3y' to each side of the equation.
3x + -1xy + -3y + 3y = 3y + z2

Combine like terms: -3y + 3y = 0
3x + -1xy + 0 = 3y + z2
3x + -1xy = 3y + z2

Reorder the terms:
3x + -1xy + -3y + -1z2 = 3y + -3y + z2 + -1z2

Combine like terms: 3y + -3y = 0
3x + -1xy + -3y + -1z2 = 0 + z2 + -1z2
3x + -1xy + -3y + -1z2 = z2 + -1z2

Combine like terms: z2 + -1z2 = 0
3x + -1xy + -3y + -1z2 = 0

The solution to this equation could not be determined.

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