5s^2+5s+9s+45=

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Solution for 5s^2+5s+9s+45= equation:


Simplifying
5s2 + 5s + 9s + 45 = 0

Reorder the terms:
45 + 5s + 9s + 5s2 = 0

Combine like terms: 5s + 9s = 14s
45 + 14s + 5s2 = 0

Solving
45 + 14s + 5s2 = 0

Solving for variable 's'.

Begin completing the square.  Divide all terms by
5 the coefficient of the squared term: 

Divide each side by '5'.
9 + 2.8s + s2 = 0

Move the constant term to the right:

Add '-9' to each side of the equation.
9 + 2.8s + -9 + s2 = 0 + -9

Reorder the terms:
9 + -9 + 2.8s + s2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 2.8s + s2 = 0 + -9
2.8s + s2 = 0 + -9

Combine like terms: 0 + -9 = -9
2.8s + s2 = -9

The s term is 2.8s.  Take half its coefficient (1.4).
Square it (1.96) and add it to both sides.

Add '1.96' to each side of the equation.
2.8s + 1.96 + s2 = -9 + 1.96

Reorder the terms:
1.96 + 2.8s + s2 = -9 + 1.96

Combine like terms: -9 + 1.96 = -7.04
1.96 + 2.8s + s2 = -7.04

Factor a perfect square on the left side:
(s + 1.4)(s + 1.4) = -7.04

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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