7s^2+5s-2=0

Solution for 7s^2+5s-2=0 equation:

Simplifying
7s2 + 5s + -2 = 0

Reorder the terms:
-2 + 5s + 7s2 = 0

Solving
-2 + 5s + 7s2 = 0

Solving for variable 's'.

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

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

Simplifying
-1 + -1s = 0

Solving
-1 + -1s = 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 + -1s = 0 + 1

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

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

Divide each side by '-1'.
s = -1

Simplifying
s = -1
Subproblem 2
Set the factor '(2 + -7s)' equal to zero and attempt to solve:

Simplifying
2 + -7s = 0

Solving
2 + -7s = 0

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

Add '-2' to each side of the equation.
2 + -2 + -7s = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -7s = 0 + -2
-7s = 0 + -2

Combine like terms: 0 + -2 = -2
-7s = -2

Divide each side by '-7'.
s = 0.2857142857

Simplifying
s = 0.2857142857
Solution
s = {-1, 0.2857142857}