x^2+t-1=0

Solution for x^2+t-1=0 equation:

Simplifying
x2 + t + -1 = 0

Reorder the terms:
-1 + t + x2 = 0

Solving
-1 + t + x2 = 0

Solving for variable 't'.

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

Add '1' to each side of the equation.
-1 + t + 1 + x2 = 0 + 1

Reorder the terms:
-1 + 1 + t + x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + t + x2 = 0 + 1
t + x2 = 0 + 1

Combine like terms: 0 + 1 = 1
t + x2 = 1

Add '-1x2' to each side of the equation.
t + x2 + -1x2 = 1 + -1x2

Combine like terms: x2 + -1x2 = 0
t + 0 = 1 + -1x2
t = 1 + -1x2

Simplifying
t = 1 + -1x2