7=s(s-6)

Solution for 7=s(s-6) equation:

Simplifying
7 = s(s + -6)

Reorder the terms:
7 = s(-6 + s)
7 = (-6 * s + s * s)
7 = (-6s + s2)

Solving
7 = -6s + s2

Solving for variable 's'.

Reorder the terms:
7 + 6s + -1s2 = -6s + 6s + s2 + -1s2

Combine like terms: -6s + 6s = 0
7 + 6s + -1s2 = 0 + s2 + -1s2
7 + 6s + -1s2 = s2 + -1s2

Combine like terms: s2 + -1s2 = 0
7 + 6s + -1s2 = 0

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

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

Simplifying
7 + -1s = 0

Solving
7 + -1s = 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 + -1s = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1s = 0 + -7
-1s = 0 + -7

Combine like terms: 0 + -7 = -7
-1s = -7

Divide each side by '-1'.
s = 7

Simplifying
s = 7
Subproblem 2
Set the factor '(1 + s)' equal to zero and attempt to solve:

Simplifying
1 + s = 0

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

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

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

Simplifying
s = -1
Solution
s = {7, -1}