s^2=4s-32

Solution for s^2=4s-32 equation:

Simplifying
s2 = 4s + -32

Reorder the terms:
s2 = -32 + 4s

Solving
s2 = -32 + 4s

Solving for variable 's'.

Reorder the terms:
32 + -4s + s2 = -32 + 4s + 32 + -4s

Reorder the terms:
32 + -4s + s2 = -32 + 32 + 4s + -4s

Combine like terms: -32 + 32 = 0
32 + -4s + s2 = 0 + 4s + -4s
32 + -4s + s2 = 4s + -4s

Combine like terms: 4s + -4s = 0
32 + -4s + s2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-32' to each side of the equation.
32 + -4s + -32 + s2 = 0 + -32

Reorder the terms:
32 + -32 + -4s + s2 = 0 + -32

Combine like terms: 32 + -32 = 0
0 + -4s + s2 = 0 + -32
-4s + s2 = 0 + -32

Combine like terms: 0 + -32 = -32
-4s + s2 = -32

The s term is -4s.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4s + 4 + s2 = -32 + 4

Reorder the terms:
4 + -4s + s2 = -32 + 4

Combine like terms: -32 + 4 = -28
4 + -4s + s2 = -28

Factor a perfect square on the left side:
(s + -2)(s + -2) = -28

Can't calculate square root of the right side.

The solution to this equation could not be determined.