-(t^2+t-30)=

Solution for -(t^2+t-30)= equation:

Simplifying
-1(t2 + t + -30) = 0

Reorder the terms:
-1(-30 + t + t2) = 0
(-30 * -1 + t * -1 + t2 * -1) = 0
(30 + -1t + -1t2) = 0

Solving
30 + -1t + -1t2 = 0

Solving for variable 't'.

Factor a trinomial.
(5 + -1t)(6 + t) = 0

Subproblem 1
Set the factor '(5 + -1t)' equal to zero and attempt to solve:

Simplifying
5 + -1t = 0

Solving
5 + -1t = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1t = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1t = 0 + -5
-1t = 0 + -5

Combine like terms: 0 + -5 = -5
-1t = -5

Divide each side by '-1'.
t = 5

Simplifying
t = 5
Subproblem 2
Set the factor '(6 + t)' equal to zero and attempt to solve:

Simplifying
6 + t = 0

Solving
6 + t = 0

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

Add '-6' to each side of the equation.
6 + -6 + t = 0 + -6

Combine like terms: 6 + -6 = 0
0 + t = 0 + -6
t = 0 + -6

Combine like terms: 0 + -6 = -6
t = -6

Simplifying
t = -6
Solution
t = {5, -6}