s^2-7s+14=-20

Solution for s^2-7s+14=-20 equation:

Simplifying
s2 + -7s + 14 = -20

Reorder the terms:
14 + -7s + s2 = -20

Solving
14 + -7s + s2 = -20

Solving for variable 's'.

Reorder the terms:
14 + 20 + -7s + s2 = -20 + 20

Combine like terms: 14 + 20 = 34
34 + -7s + s2 = -20 + 20

Combine like terms: -20 + 20 = 0
34 + -7s + s2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-34' to each side of the equation.
34 + -7s + -34 + s2 = 0 + -34

Reorder the terms:
34 + -34 + -7s + s2 = 0 + -34

Combine like terms: 34 + -34 = 0
0 + -7s + s2 = 0 + -34
-7s + s2 = 0 + -34

Combine like terms: 0 + -34 = -34
-7s + s2 = -34

The s term is -7s.  Take half its coefficient (-3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
-7s + 12.25 + s2 = -34 + 12.25

Reorder the terms:
12.25 + -7s + s2 = -34 + 12.25

Combine like terms: -34 + 12.25 = -21.75
12.25 + -7s + s2 = -21.75

Factor a perfect square on the left side:
(s + -3.5)(s + -3.5) = -21.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.