s^2+14s+2=0

Simple and best practice solution for s^2+14s+2=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for s^2+14s+2=0 equation: 


Simplifying
s2 + 14s + 2 = 0

Reorder the terms:
2 + 14s + s2 = 0

Solving
2 + 14s + s2 = 0

Solving for variable 's'.

Begin completing the square.

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + 14s + -2 + s2 = 0 + -2

Reorder the terms:
2 + -2 + 14s + s2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 14s + s2 = 0 + -2
14s + s2 = 0 + -2

Combine like terms: 0 + -2 = -2
14s + s2 = -2

The s term is 14s.  Take half its coefficient (7).
Square it (49) and add it to both sides.

Add '49' to each side of the equation.
14s + 49 + s2 = -2 + 49

Reorder the terms:
49 + 14s + s2 = -2 + 49

Combine like terms: -2 + 49 = 47
49 + 14s + s2 = 47

Factor a perfect square on the left side:
(s + 7)(s + 7) = 47

Calculate the square root of the right side: 6.8556546

Break this problem into two subproblems by setting 
(s + 7) equal to 6.8556546 and -6.8556546.


Subproblem 1
s + 7 = 6.8556546

Simplifying
s + 7 = 6.8556546

Reorder the terms:
7 + s = 6.8556546

Solving
7 + s = 6.8556546

Solving for variable 's'.

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

Add '-7' to each side of the equation.
7 + -7 + s = 6.8556546 + -7

Combine like terms: 7 + -7 = 0
0 + s = 6.8556546 + -7
s = 6.8556546 + -7

Combine like terms: 6.8556546 + -7 = -0.1443454
s = -0.1443454

Simplifying
s = -0.1443454


Subproblem 2
s + 7 = -6.8556546

Simplifying
s + 7 = -6.8556546

Reorder the terms:
7 + s = -6.8556546

Solving
7 + s = -6.8556546

Solving for variable 's'.

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

Add '-7' to each side of the equation.
7 + -7 + s = -6.8556546 + -7

Combine like terms: 7 + -7 = 0
0 + s = -6.8556546 + -7
s = -6.8556546 + -7

Combine like terms: -6.8556546 + -7 = -13.8556546
s = -13.8556546

Simplifying
s = -13.8556546


Solution
The solution to the problem is based on the solutions
from the subproblems.
s = {-0.1443454, -13.8556546}

See similar equations:

| 4+2y=9+y+x+4 | | ln(5x+1)=1 | | 9x+1=10-5 | | 1/4x-y=5 | | -2*(5+6c)+16=90 | | 4x+45=9(x+5)-5x | | 27=36/3x? | | 9(2x-3)=27(x-7) | | 10n-6p+3q-4n+8p-6q= | | ln(1+x)=3*x | | 2x-(9x+5)=5-7x | | X+2x+x-40=180 | | 4-(4*7)-3= | | 5(15x+15)= | | 7x+4=3x-10 | | 4+2y=9+y | | 7x-(9+4)=6-2x | | 32x^3*(-3/x^2) | | 7y=822 | | 3x-(8x+7)=5-5x | | Tg(3x)=-9 | | (8x-24)/(2x^2-x-15) | | 4(3x+5)-(12+5)=15 | | 3/(10.8x)=0.004 | | 3(x-1)=8x-8-5x | | 10x/2x= | | 4(r+1)=3(2r+1) | | 3x*4x=1000 | | -4-3x=x+10 | | 2x-19=26 | | 7(5x+2)=49 | | (4-x)(7+x)=0 |

Equations solver categories