2t^2+t-351=0

Solution for 2t^2+t-351=0 equation:

Simplifying
2t2 + t + -351 = 0

Reorder the terms:
-351 + t + 2t2 = 0

Solving
-351 + t + 2t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-27 + -2t)(13 + -1t) = 0

Subproblem 1
Set the factor '(-27 + -2t)' equal to zero and attempt to solve:

Simplifying
-27 + -2t = 0

Solving
-27 + -2t = 0

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

Add '27' to each side of the equation.
-27 + 27 + -2t = 0 + 27

Combine like terms: -27 + 27 = 0
0 + -2t = 0 + 27
-2t = 0 + 27

Combine like terms: 0 + 27 = 27
-2t = 27

Divide each side by '-2'.
t = -13.5

Simplifying
t = -13.5
Subproblem 2
Set the factor '(13 + -1t)' equal to zero and attempt to solve:

Simplifying
13 + -1t = 0

Solving
13 + -1t = 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 + -1t = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -1t = 0 + -13
-1t = 0 + -13

Combine like terms: 0 + -13 = -13
-1t = -13

Divide each side by '-1'.
t = 13

Simplifying
t = 13
Solution
t = {-13.5, 13}