30=s(s-7)

Solution for 30=s(s-7) equation:

Simplifying
30 = s(s + -7)

Reorder the terms:
30 = s(-7 + s)
30 = (-7 * s + s * s)
30 = (-7s + s2)

Solving
30 = -7s + s2

Solving for variable 's'.

Reorder the terms:
30 + 7s + -1s2 = -7s + 7s + s2 + -1s2

Combine like terms: -7s + 7s = 0
30 + 7s + -1s2 = 0 + s2 + -1s2
30 + 7s + -1s2 = s2 + -1s2

Combine like terms: s2 + -1s2 = 0
30 + 7s + -1s2 = 0

Factor a trinomial.
(10 + -1s)(3 + s) = 0

Subproblem 1
Set the factor '(10 + -1s)' equal to zero and attempt to solve:

Simplifying
10 + -1s = 0

Solving
10 + -1s = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1s = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1s = 0 + -10
-1s = 0 + -10

Combine like terms: 0 + -10 = -10
-1s = -10

Divide each side by '-1'.
s = 10

Simplifying
s = 10
Subproblem 2
Set the factor '(3 + s)' equal to zero and attempt to solve:

Simplifying
3 + s = 0

Solving
3 + s = 0

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

Add '-3' to each side of the equation.
3 + -3 + s = 0 + -3

Combine like terms: 3 + -3 = 0
0 + s = 0 + -3
s = 0 + -3

Combine like terms: 0 + -3 = -3
s = -3

Simplifying
s = -3
Solution
s = {10, -3}