t^2+23t=-132

Solution for t^2+23t=-132 equation:

Simplifying
t2 + 23t = -132

Reorder the terms:
23t + t2 = -132

Solving
23t + t2 = -132

Solving for variable 't'.

Reorder the terms:
132 + 23t + t2 = -132 + 132

Combine like terms: -132 + 132 = 0
132 + 23t + t2 = 0

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

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

Simplifying
12 + t = 0

Solving
12 + t = 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 + t = 0 + -12

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

Combine like terms: 0 + -12 = -12
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}