-5t^2-14t+3=0

Solution for -5t^2-14t+3=0 equation:

Simplifying
-5t2 + -14t + 3 = 0

Reorder the terms:
3 + -14t + -5t2 = 0

Solving
3 + -14t + -5t2 = 0

Solving for variable 't'.

Factor a trinomial.
(1 + -5t)(3 + t) = 0

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

Simplifying
1 + -5t = 0

Solving
1 + -5t = 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 + -5t = 0 + -1

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

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

Divide each side by '-5'.
t = 0.2

Simplifying
t = 0.2
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 = {0.2, -3}