s(s-6)=7

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

Simplifying
s(s + -6) = 7

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

Solving
-6s + s2 = 7

Solving for variable 's'.

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

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

Factor a trinomial.
(-1 + -1s)(7 + -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 '(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
Solution
s = {-1, 7}