-12t^2+11t+1=

Solution for -12t^2+11t+1= equation:

Simplifying
-12t2 + 11t + 1 = 0

Reorder the terms:
1 + 11t + -12t2 = 0

Solving
1 + 11t + -12t2 = 0

Solving for variable 't'.

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

Subproblem 1
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
Subproblem 2
Set the factor '(1 + 12t)' equal to zero and attempt to solve:

Simplifying
1 + 12t = 0

Solving
1 + 12t = 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 + 12t = 0 + -1

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

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

Divide each side by '12'.
t = -0.08333333333

Simplifying
t = -0.08333333333
Solution
t = {1, -0.08333333333}