1+1=t(t-1)

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

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

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

Reorder the terms:
2 = t(-1 + t)
2 = (-1 * t + t * t)
2 = (-1t + t2)

Solving
2 = -1t + t2

Solving for variable 't'.

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

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

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

Factor a trinomial.
(2 + -1t)(1 + t) = 0

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

Simplifying
2 + -1t = 0

Solving
2 + -1t = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1t = 0 + -2

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

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

Divide each side by '-1'.
t = 2

Simplifying
t = 2
Subproblem 2
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
Solution
t = {2, -1}