5s^2+12s+7=

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

Simplifying
5s2 + 12s + 7 = 0

Reorder the terms:
7 + 12s + 5s2 = 0

Solving
7 + 12s + 5s2 = 0

Solving for variable 's'.

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

Subproblem 1
Set the factor '(7 + 5s)' equal to zero and attempt to solve:

Simplifying
7 + 5s = 0

Solving
7 + 5s = 0

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

Add '-7' to each side of the equation.
7 + -7 + 5s = 0 + -7

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

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

Divide each side by '5'.
s = -1.4

Simplifying
s = -1.4
Subproblem 2
Set the factor '(1 + s)' equal to zero and attempt to solve:

Simplifying
1 + s = 0

Solving
1 + s = 0

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

Add '-1' to each side of the equation.
1 + -1 + s = 0 + -1

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

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

Simplifying
s = -1
Solution
s = {-1.4, -1}