(s-6)(s+1)=

Solution for (s-6)(s+1)= equation:

Simplifying
(s + -6)(s + 1) = 0

Reorder the terms:
(-6 + s)(s + 1) = 0

Reorder the terms:
(-6 + s)(1 + s) = 0

Multiply (-6 + s) * (1 + s)
(-6(1 + s) + s(1 + s)) = 0
((1 * -6 + s * -6) + s(1 + s)) = 0
((-6 + -6s) + s(1 + s)) = 0
(-6 + -6s + (1 * s + s * s)) = 0
(-6 + -6s + (1s + s2)) = 0

Combine like terms: -6s + 1s = -5s
(-6 + -5s + s2) = 0

Solving
-6 + -5s + s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-1 + -1s)(6 + -1s) = 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 '(6 + -1s)' equal to zero and attempt to solve:

Simplifying
6 + -1s = 0

Solving
6 + -1s = 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 + -1s = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1s = 0 + -6
-1s = 0 + -6

Combine like terms: 0 + -6 = -6
-1s = -6

Divide each side by '-1'.
s = 6

Simplifying
s = 6
Solution
s = {-1, 6}