5s^2+2s-7=0

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

Simplifying
5s2 + 2s + -7 = 0

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

Solving
-7 + 2s + 5s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-7 + -5s)(1 + -1s) = 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 + -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
Solution
s = {-1.4, 1}