5t^2+28t+32=

Solution for 5t^2+28t+32= equation:

Simplifying
5t2 + 28t + 32 = 0

Reorder the terms:
32 + 28t + 5t2 = 0

Solving
32 + 28t + 5t2 = 0

Solving for variable 't'.

Factor a trinomial.
(4 + t)(8 + 5t) = 0

Subproblem 1
Set the factor '(4 + t)' equal to zero and attempt to solve:

Simplifying
4 + t = 0

Solving
4 + t = 0

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

Add '-4' to each side of the equation.
4 + -4 + t = 0 + -4

Combine like terms: 4 + -4 = 0
0 + t = 0 + -4
t = 0 + -4

Combine like terms: 0 + -4 = -4
t = -4

Simplifying
t = -4
Subproblem 2
Set the factor '(8 + 5t)' equal to zero and attempt to solve:

Simplifying
8 + 5t = 0

Solving
8 + 5t = 0

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

Add '-8' to each side of the equation.
8 + -8 + 5t = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 5t = 0 + -8
5t = 0 + -8

Combine like terms: 0 + -8 = -8
5t = -8

Divide each side by '5'.
t = -1.6

Simplifying
t = -1.6
Solution
t = {-4, -1.6}