7t^2+12t+5=

Solution for 7t^2+12t+5= equation:

Simplifying
7t2 + 12t + 5 = 0

Reorder the terms:
5 + 12t + 7t2 = 0

Solving
5 + 12t + 7t2 = 0

Solving for variable 't'.

Factor a trinomial.
(1 + t)(5 + 7t) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(5 + 7t)' equal to zero and attempt to solve:

Simplifying
5 + 7t = 0

Solving
5 + 7t = 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 + 7t = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 7t = 0 + -5
7t = 0 + -5

Combine like terms: 0 + -5 = -5
7t = -5

Divide each side by '7'.
t = -0.7142857143

Simplifying
t = -0.7142857143
Solution
t = {-1, -0.7142857143}