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

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

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

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

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

Multiply (6 + 5s) * (-2 + s)
(6(-2 + s) + 5s * (-2 + s)) = 0
((-2 * 6 + s * 6) + 5s * (-2 + s)) = 0
((-12 + 6s) + 5s * (-2 + s)) = 0
(-12 + 6s + (-2 * 5s + s * 5s)) = 0
(-12 + 6s + (-10s + 5s2)) = 0

Combine like terms: 6s + -10s = -4s
(-12 + -4s + 5s2) = 0

Solving
-12 + -4s + 5s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-6 + -5s)(2 + -1s) = 0

Subproblem 1
Set the factor '(-6 + -5s)' equal to zero and attempt to solve:

Simplifying
-6 + -5s = 0

Solving
-6 + -5s = 0

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

Add '6' to each side of the equation.
-6 + 6 + -5s = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -5s = 0 + 6
-5s = 0 + 6

Combine like terms: 0 + 6 = 6
-5s = 6

Divide each side by '-5'.
s = -1.2

Simplifying
s = -1.2
Subproblem 2
Set the factor '(2 + -1s)' equal to zero and attempt to solve:

Simplifying
2 + -1s = 0

Solving
2 + -1s = 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 + -1s = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1s = 0 + -2
-1s = 0 + -2

Combine like terms: 0 + -2 = -2
-1s = -2

Divide each side by '-1'.
s = 2

Simplifying
s = 2
Solution
s = {-1.2, 2}