5t^2+17t+12=

Solution for 5t^2+17t+12= equation:

Simplifying
5t2 + 17t + 12 = 0

Reorder the terms:
12 + 17t + 5t2 = 0

Solving
12 + 17t + 5t2 = 0

Solving for variable 't'.

Factor a trinomial.
(12 + 5t)(1 + t) = 0

Subproblem 1
Set the factor '(12 + 5t)' equal to zero and attempt to solve:

Simplifying
12 + 5t = 0

Solving
12 + 5t = 0

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

Add '-12' to each side of the equation.
12 + -12 + 5t = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 5t = 0 + -12
5t = 0 + -12

Combine like terms: 0 + -12 = -12
5t = -12

Divide each side by '5'.
t = -2.4

Simplifying
t = -2.4
Subproblem 2
Set the factor '(1 + t)' equal to zero and attempt to solve:

Simplifying
1 + t = 0

Solving
1 + t = 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 + t = 0 + -1

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

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

Simplifying
t = -1
Solution
t = {-2.4, -1}