(7s+5)(2s-6)=0

Solution for (7s+5)(2s-6)=0 equation:

Simplifying
(7s + 5)(2s + -6) = 0

Reorder the terms:
(5 + 7s)(2s + -6) = 0

Reorder the terms:
(5 + 7s)(-6 + 2s) = 0

Multiply (5 + 7s) * (-6 + 2s)
(5(-6 + 2s) + 7s * (-6 + 2s)) = 0
((-6 * 5 + 2s * 5) + 7s * (-6 + 2s)) = 0
((-30 + 10s) + 7s * (-6 + 2s)) = 0
(-30 + 10s + (-6 * 7s + 2s * 7s)) = 0
(-30 + 10s + (-42s + 14s2)) = 0

Combine like terms: 10s + -42s = -32s
(-30 + -32s + 14s2) = 0

Solving
-30 + -32s + 14s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-15 + -16s + 7s2) = 0

Factor a trinomial.
2((-5 + -7s)(3 + -1s)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-5 + -7s)' equal to zero and attempt to solve:

Simplifying
-5 + -7s = 0

Solving
-5 + -7s = 0

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

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

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

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

Divide each side by '-7'.
s = -0.7142857143

Simplifying
s = -0.7142857143
Subproblem 2
Set the factor '(3 + -1s)' equal to zero and attempt to solve:

Simplifying
3 + -1s = 0

Solving
3 + -1s = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1s = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1s = 0 + -3
-1s = 0 + -3

Combine like terms: 0 + -3 = -3
-1s = -3

Divide each side by '-1'.
s = 3

Simplifying
s = 3
Solution
s = {-0.7142857143, 3}