0=t^2-t-132

Solution for 0=t^2-t-132 equation:

Simplifying
0 = t2 + -1t + -132

Reorder the terms:
0 = -132 + -1t + t2

Solving
0 = -132 + -1t + t2

Solving for variable 't'.

Combine like terms: 0 + 132 = 132
132 + t + -1t2 = -132 + -1t + t2 + 132 + t + -1t2

Reorder the terms:
132 + t + -1t2 = -132 + 132 + -1t + t + t2 + -1t2

Combine like terms: -132 + 132 = 0
132 + t + -1t2 = 0 + -1t + t + t2 + -1t2
132 + t + -1t2 = -1t + t + t2 + -1t2

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

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

Factor a trinomial.
(12 + -1t)(11 + t) = 0

Subproblem 1
Set the factor '(12 + -1t)' equal to zero and attempt to solve:

Simplifying
12 + -1t = 0

Solving
12 + -1t = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1t = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1t = 0 + -12
-1t = 0 + -12

Combine like terms: 0 + -12 = -12
-1t = -12

Divide each side by '-1'.
t = 12

Simplifying
t = 12
Subproblem 2
Set the factor '(11 + t)' equal to zero and attempt to solve:

Simplifying
11 + t = 0

Solving
11 + t = 0

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

Add '-11' to each side of the equation.
11 + -11 + t = 0 + -11

Combine like terms: 11 + -11 = 0
0 + t = 0 + -11
t = 0 + -11

Combine like terms: 0 + -11 = -11
t = -11

Simplifying
t = -11
Solution
t = {12, -11}