2t^2+16t=-30

Solution for 2t^2+16t=-30 equation:

Simplifying
2t2 + 16t = -30

Reorder the terms:
16t + 2t2 = -30

Solving
16t + 2t2 = -30

Solving for variable 't'.

Reorder the terms:
30 + 16t + 2t2 = -30 + 30

Combine like terms: -30 + 30 = 0
30 + 16t + 2t2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(15 + 8t + t2) = 0

Factor a trinomial.
2((5 + t)(3 + t)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(5 + t)' equal to zero and attempt to solve:

Simplifying
5 + t = 0

Solving
5 + t = 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 + t = 0 + -5

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

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

Simplifying
t = -5
Subproblem 2
Set the factor '(3 + t)' equal to zero and attempt to solve:

Simplifying
3 + t = 0

Solving
3 + t = 0

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

Add '-3' to each side of the equation.
3 + -3 + t = 0 + -3

Combine like terms: 3 + -3 = 0
0 + t = 0 + -3
t = 0 + -3

Combine like terms: 0 + -3 = -3
t = -3

Simplifying
t = -3
Solution
t = {-5, -3}