t^2+3t-130=0

Solution for t^2+3t-130=0 equation:

Simplifying
t2 + 3t + -130 = 0

Reorder the terms:
-130 + 3t + t2 = 0

Solving
-130 + 3t + t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-13 + -1t)(10 + -1t) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(10 + -1t)' equal to zero and attempt to solve:

Simplifying
10 + -1t = 0

Solving
10 + -1t = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1t = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1t = 0 + -10
-1t = 0 + -10

Combine like terms: 0 + -10 = -10
-1t = -10

Divide each side by '-1'.
t = 10

Simplifying
t = 10
Solution
t = {-13, 10}