s^2+10=4s+6

Solution for s^2+10=4s+6 equation:

Simplifying
s2 + 10 = 4s + 6

Reorder the terms:
10 + s2 = 4s + 6

Reorder the terms:
10 + s2 = 6 + 4s

Solving
10 + s2 = 6 + 4s

Solving for variable 's'.

Reorder the terms:
10 + -6 + -4s + s2 = 6 + 4s + -6 + -4s

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

Reorder the terms:
4 + -4s + s2 = 6 + -6 + 4s + -4s

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

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

Factor a trinomial.
(2 + -1s)(2 + -1s) = 0

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

Simplifying
2 + -1s = 0

Solving
2 + -1s = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1s = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1s = 0 + -2
-1s = 0 + -2

Combine like terms: 0 + -2 = -2
-1s = -2

Divide each side by '-1'.
s = 2

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

Simplifying
2 + -1s = 0

Solving
2 + -1s = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1s = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1s = 0 + -2
-1s = 0 + -2

Combine like terms: 0 + -2 = -2
-1s = -2

Divide each side by '-1'.
s = 2

Simplifying
s = 2
Solution
s = {2, 2}