v^2+14*v+14=0

Simple and best practice solution for v^2+14*v+14=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 v^2+14*v+14=0 equation:


Simplifying
v2 + 14v + 14 = 0

Reorder the terms:
14 + 14v + v2 = 0

Solving
14 + 14v + v2 = 0

Solving for variable 'v'.

Begin completing the square.

Move the constant term to the right:

Add '-14' to each side of the equation.
14 + 14v + -14 + v2 = 0 + -14

Reorder the terms:
14 + -14 + 14v + v2 = 0 + -14

Combine like terms: 14 + -14 = 0
0 + 14v + v2 = 0 + -14
14v + v2 = 0 + -14

Combine like terms: 0 + -14 = -14
14v + v2 = -14

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

Add '49' to each side of the equation.
14v + 49 + v2 = -14 + 49

Reorder the terms:
49 + 14v + v2 = -14 + 49

Combine like terms: -14 + 49 = 35
49 + 14v + v2 = 35

Factor a perfect square on the left side:
(v + 7)(v + 7) = 35

Calculate the square root of the right side: 5.916079783

Break this problem into two subproblems by setting 
(v + 7) equal to 5.916079783 and -5.916079783.


Subproblem 1
v + 7 = 5.916079783

Simplifying
v + 7 = 5.916079783

Reorder the terms:
7 + v = 5.916079783

Solving
7 + v = 5.916079783

Solving for variable 'v'.

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

Add '-7' to each side of the equation.
7 + -7 + v = 5.916079783 + -7

Combine like terms: 7 + -7 = 0
0 + v = 5.916079783 + -7
v = 5.916079783 + -7

Combine like terms: 5.916079783 + -7 = -1.083920217
v = -1.083920217

Simplifying
v = -1.083920217


Subproblem 2
v + 7 = -5.916079783

Simplifying
v + 7 = -5.916079783

Reorder the terms:
7 + v = -5.916079783

Solving
7 + v = -5.916079783

Solving for variable 'v'.

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

Add '-7' to each side of the equation.
7 + -7 + v = -5.916079783 + -7

Combine like terms: 7 + -7 = 0
0 + v = -5.916079783 + -7
v = -5.916079783 + -7

Combine like terms: -5.916079783 + -7 = -12.916079783
v = -12.916079783

Simplifying
v = -12.916079783


Solution
The solution to the problem is based on the solutions
from the subproblems.
v = {-1.083920217, -12.916079783}

See similar equations:

| -v=9 | | (15-0.5x)(5-0.1x)=0 | | 6v-12=6v-7 | | 8b-7=-1+5b | | .75+.25(x+6)+.25= | | 2y*5y-5+6-5=15 | | 2.5(5k+35)-8=12 | | 2+3x=4+5x | | 7(2-x)+10=-10(x-4)-8 | | X+3=-34 | | (2a+11)+m=275 | | 1(16r)=12(-3-r) | | 8n+8=-16+n-3+6 | | 175=1-0.2n | | 5*5*5*5*5*5*5*5*5*5*99= | | .4(2s+4)=48 | | 10w-15=5w-10 | | 6k-8=10k | | c(41+10c)-18=0 | | 487=n-512 | | 30=25+n | | v(26+8v)-7=0 | | 3y^2+y=0 | | 5x+3=-10-3x-5x | | 3w-6=15 | | (x-2)(x+2)-12=0 | | 4(2b-1)-16=4 | | 8(3t-9)+7t= | | 1-1a+0.5a^2=0 | | 3x^6+2=8 | | 15.3=2w+(-4.7) | | t^2+14t+40=0 |

Equations solver categories