11t^2+t+40=142

Solution for 11t^2+t+40=142 equation:

Simplifying
11t2 + t + 40 = 142

Reorder the terms:
40 + t + 11t2 = 142

Solving
40 + t + 11t2 = 142

Solving for variable 't'.

Reorder the terms:
40 + -142 + t + 11t2 = 142 + -142

Combine like terms: 40 + -142 = -102
-102 + t + 11t2 = 142 + -142

Combine like terms: 142 + -142 = 0
-102 + t + 11t2 = 0

Factor a trinomial.
(-34 + -11t)(3 + -1t) = 0

Subproblem 1
Set the factor '(-34 + -11t)' equal to zero and attempt to solve:

Simplifying
-34 + -11t = 0

Solving
-34 + -11t = 0

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

Add '34' to each side of the equation.
-34 + 34 + -11t = 0 + 34

Combine like terms: -34 + 34 = 0
0 + -11t = 0 + 34
-11t = 0 + 34

Combine like terms: 0 + 34 = 34
-11t = 34

Divide each side by '-11'.
t = -3.090909091

Simplifying
t = -3.090909091
Subproblem 2
Set the factor '(3 + -1t)' equal to zero and attempt to solve:

Simplifying
3 + -1t = 0

Solving
3 + -1t = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1t = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1t = 0 + -3
-1t = 0 + -3

Combine like terms: 0 + -3 = -3
-1t = -3

Divide each side by '-1'.
t = 3

Simplifying
t = 3
Solution
t = {-3.090909091, 3}