t=(x-1)(1-x)

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Solution for t=(x-1)(1-x) equation: 


Simplifying
t = (x + -1)(1 + -1x)

Reorder the terms:
t = (-1 + x)(1 + -1x)

Multiply (-1 + x) * (1 + -1x)
t = (-1(1 + -1x) + x(1 + -1x))
t = ((1 * -1 + -1x * -1) + x(1 + -1x))
t = ((-1 + 1x) + x(1 + -1x))
t = (-1 + 1x + (1 * x + -1x * x))
t = (-1 + 1x + (1x + -1x2))

Combine like terms: 1x + 1x = 2x
t = (-1 + 2x + -1x2)

Solving
t = -1 + 2x + -1x2

Solving for variable 't'.

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

Simplifying
t = -1 + 2x + -1x2

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