s^2-4s=30+3s

Solution for s^2-4s=30+3s equation:

Simplifying
s2 + -4s = 30 + 3s

Reorder the terms:
-4s + s2 = 30 + 3s

Solving
-4s + s2 = 30 + 3s

Solving for variable 's'.

Reorder the terms:
-30 + -4s + -3s + s2 = 30 + 3s + -30 + -3s

Combine like terms: -4s + -3s = -7s
-30 + -7s + s2 = 30 + 3s + -30 + -3s

Reorder the terms:
-30 + -7s + s2 = 30 + -30 + 3s + -3s

Combine like terms: 30 + -30 = 0
-30 + -7s + s2 = 0 + 3s + -3s
-30 + -7s + s2 = 3s + -3s

Combine like terms: 3s + -3s = 0
-30 + -7s + s2 = 0

Factor a trinomial.
(-3 + -1s)(10 + -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 '(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
Solution
s = {-3, 10}