12t^2+t=13

Solution for 12t^2+t=13 equation:

Simplifying
12t2 + t = 13

Reorder the terms:
t + 12t2 = 13

Solving
t + 12t2 = 13

Solving for variable 't'.

Reorder the terms:
-13 + t + 12t2 = 13 + -13

Combine like terms: 13 + -13 = 0
-13 + t + 12t2 = 0

Factor a trinomial.
(-13 + -12t)(1 + -1t) = 0

Subproblem 1
Set the factor '(-13 + -12t)' equal to zero and attempt to solve:

Simplifying
-13 + -12t = 0

Solving
-13 + -12t = 0

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

Add '13' to each side of the equation.
-13 + 13 + -12t = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -12t = 0 + 13
-12t = 0 + 13

Combine like terms: 0 + 13 = 13
-12t = 13

Divide each side by '-12'.
t = -1.083333333

Simplifying
t = -1.083333333
Subproblem 2
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
Solution
t = {-1.083333333, 1}