7t^2+15t+2=

Solution for 7t^2+15t+2= equation:

Simplifying
7t2 + 15t + 2 = 0

Reorder the terms:
2 + 15t + 7t2 = 0

Solving
2 + 15t + 7t2 = 0

Solving for variable 't'.

Factor a trinomial.
(2 + t)(1 + 7t) = 0

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

Simplifying
2 + t = 0

Solving
2 + t = 0

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

Add '-2' to each side of the equation.
2 + -2 + t = 0 + -2

Combine like terms: 2 + -2 = 0
0 + t = 0 + -2
t = 0 + -2

Combine like terms: 0 + -2 = -2
t = -2

Simplifying
t = -2
Subproblem 2
Set the factor '(1 + 7t)' equal to zero and attempt to solve:

Simplifying
1 + 7t = 0

Solving
1 + 7t = 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 + 7t = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 7t = 0 + -1
7t = 0 + -1

Combine like terms: 0 + -1 = -1
7t = -1

Divide each side by '7'.
t = -0.1428571429

Simplifying
t = -0.1428571429
Solution
t = {-2, -0.1428571429}