(9s+7)(2s-6)=0

Solution for (9s+7)(2s-6)=0 equation:

Simplifying
(9s + 7)(2s + -6) = 0

Reorder the terms:
(7 + 9s)(2s + -6) = 0

Reorder the terms:
(7 + 9s)(-6 + 2s) = 0

Multiply (7 + 9s) * (-6 + 2s)
(7(-6 + 2s) + 9s * (-6 + 2s)) = 0
((-6 * 7 + 2s * 7) + 9s * (-6 + 2s)) = 0
((-42 + 14s) + 9s * (-6 + 2s)) = 0
(-42 + 14s + (-6 * 9s + 2s * 9s)) = 0
(-42 + 14s + (-54s + 18s2)) = 0

Combine like terms: 14s + -54s = -40s
(-42 + -40s + 18s2) = 0

Solving
-42 + -40s + 18s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-21 + -20s + 9s2) = 0

Factor a trinomial.
2((-7 + -9s)(3 + -1s)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-7 + -9s)' equal to zero and attempt to solve:

Simplifying
-7 + -9s = 0

Solving
-7 + -9s = 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 + -9s = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -9s = 0 + 7
-9s = 0 + 7

Combine like terms: 0 + 7 = 7
-9s = 7

Divide each side by '-9'.
s = -0.7777777778

Simplifying
s = -0.7777777778
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 = {-0.7777777778, 3}