-t^2=1-2t

Solution for -t^2=1-2t equation:

Simplifying
-1t2 = 1 + -2t

Solving
-1t2 = 1 + -2t

Solving for variable 't'.

Reorder the terms:
-1 + 2t + -1t2 = 1 + -2t + -1 + 2t

Reorder the terms:
-1 + 2t + -1t2 = 1 + -1 + -2t + 2t

Combine like terms: 1 + -1 = 0
-1 + 2t + -1t2 = 0 + -2t + 2t
-1 + 2t + -1t2 = -2t + 2t

Combine like terms: -2t + 2t = 0
-1 + 2t + -1t2 = 0

Factor a trinomial.
(-1 + t)(1 + -1t) = 0

Subproblem 1
Set the factor '(-1 + t)' equal to zero and attempt to solve:

Simplifying
-1 + t = 0

Solving
-1 + t = 0

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

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

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

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

Simplifying
t = 1
Subproblem 2
Set the factor '(1 + -1t)' equal to zero and attempt to solve:

Simplifying
1 + -1t = 0

Solving
1 + -1t = 0

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

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

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

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

Divide each side by '-1'.
t = 1

Simplifying
t = 1
Solution
t = {1, 1}