(s-2)(s-5)=4

Solution for (s-2)(s-5)=4 equation:

Simplifying
(s + -2)(s + -5) = 4

Reorder the terms:
(-2 + s)(s + -5) = 4

Reorder the terms:
(-2 + s)(-5 + s) = 4

Multiply (-2 + s) * (-5 + s)
(-2(-5 + s) + s(-5 + s)) = 4
((-5 * -2 + s * -2) + s(-5 + s)) = 4
((10 + -2s) + s(-5 + s)) = 4
(10 + -2s + (-5 * s + s * s)) = 4
(10 + -2s + (-5s + s2)) = 4

Combine like terms: -2s + -5s = -7s
(10 + -7s + s2) = 4

Solving
10 + -7s + s2 = 4

Solving for variable 's'.

Reorder the terms:
10 + -4 + -7s + s2 = 4 + -4

Combine like terms: 10 + -4 = 6
6 + -7s + s2 = 4 + -4

Combine like terms: 4 + -4 = 0
6 + -7s + s2 = 0

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}