s^2+5s=-17

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Solution for s^2+5s=-17 equation:


Simplifying
s2 + 5s = -17

Reorder the terms:
5s + s2 = -17

Solving
5s + s2 = -17

Solving for variable 's'.

Reorder the terms:
17 + 5s + s2 = -17 + 17

Combine like terms: -17 + 17 = 0
17 + 5s + s2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-17' to each side of the equation.
17 + 5s + -17 + s2 = 0 + -17

Reorder the terms:
17 + -17 + 5s + s2 = 0 + -17

Combine like terms: 17 + -17 = 0
0 + 5s + s2 = 0 + -17
5s + s2 = 0 + -17

Combine like terms: 0 + -17 = -17
5s + s2 = -17

The s term is 5s.  Take half its coefficient (2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
5s + 6.25 + s2 = -17 + 6.25

Reorder the terms:
6.25 + 5s + s2 = -17 + 6.25

Combine like terms: -17 + 6.25 = -10.75
6.25 + 5s + s2 = -10.75

Factor a perfect square on the left side:
(s + 2.5)(s + 2.5) = -10.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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