30t^2+t-31=0

Solution for 30t^2+t-31=0 equation:

Simplifying
30t2 + t + -31 = 0

Reorder the terms:
-31 + t + 30t2 = 0

Solving
-31 + t + 30t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-31 + -30t)(1 + -1t) = 0

Subproblem 1
Set the factor '(-31 + -30t)' equal to zero and attempt to solve:

Simplifying
-31 + -30t = 0

Solving
-31 + -30t = 0

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

Add '31' to each side of the equation.
-31 + 31 + -30t = 0 + 31

Combine like terms: -31 + 31 = 0
0 + -30t = 0 + 31
-30t = 0 + 31

Combine like terms: 0 + 31 = 31
-30t = 31

Divide each side by '-30'.
t = -1.033333333

Simplifying
t = -1.033333333
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 = {-1.033333333, 1}