s^2-30s+56=-25

Solution for s^2-30s+56=-25 equation:

Simplifying
s2 + -30s + 56 = -25

Reorder the terms:
56 + -30s + s2 = -25

Solving
56 + -30s + s2 = -25

Solving for variable 's'.

Reorder the terms:
56 + 25 + -30s + s2 = -25 + 25

Combine like terms: 56 + 25 = 81
81 + -30s + s2 = -25 + 25

Combine like terms: -25 + 25 = 0
81 + -30s + s2 = 0

Factor a trinomial.
(3 + -1s)(27 + -1s) = 0

Subproblem 1
Set the factor '(3 + -1s)' equal to zero and attempt to solve:

Simplifying
3 + -1s = 0

Solving
3 + -1s = 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 + -1s = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1s = 0 + -3
-1s = 0 + -3

Combine like terms: 0 + -3 = -3
-1s = -3

Divide each side by '-1'.
s = 3

Simplifying
s = 3
Subproblem 2
Set the factor '(27 + -1s)' equal to zero and attempt to solve:

Simplifying
27 + -1s = 0

Solving
27 + -1s = 0

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

Add '-27' to each side of the equation.
27 + -27 + -1s = 0 + -27

Combine like terms: 27 + -27 = 0
0 + -1s = 0 + -27
-1s = 0 + -27

Combine like terms: 0 + -27 = -27
-1s = -27

Divide each side by '-1'.
s = 27

Simplifying
s = 27
Solution
s = {3, 27}