x(t-x)-y*z=1

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Solution for x(t-x)-y*z=1 equation:


Simplifying
x(t + -1x) + -1y * z = 1
(t * x + -1x * x) + -1y * z = 1
(tx + -1x2) + -1y * z = 1

Multiply y * z
tx + -1x2 + -1yz = 1

Solving
tx + -1x2 + -1yz = 1

Solving for variable 't'.

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

Add 'x2' to each side of the equation.
tx + -1x2 + x2 + -1yz = 1 + x2

Combine like terms: -1x2 + x2 = 0
tx + 0 + -1yz = 1 + x2
tx + -1yz = 1 + x2

Add 'yz' to each side of the equation.
tx + -1yz + yz = 1 + x2 + yz

Combine like terms: -1yz + yz = 0
tx + 0 = 1 + x2 + yz
tx = 1 + x2 + yz

Divide each side by 'x'.
t = x-1 + x + x-1yz

Simplifying
t = x-1 + x + x-1yz

Reorder the terms:
t = x-1 + x-1yz + x

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