v^2+16v+16=

Simple and best practice solution for v^2+16v+16= 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+16v+16= equation:


Simplifying
v2 + 16v + 16 = 0

Reorder the terms:
16 + 16v + v2 = 0

Solving
16 + 16v + v2 = 0

Solving for variable 'v'.

Begin completing the square.

Move the constant term to the right:

Add '-16' to each side of the equation.
16 + 16v + -16 + v2 = 0 + -16

Reorder the terms:
16 + -16 + 16v + v2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + 16v + v2 = 0 + -16
16v + v2 = 0 + -16

Combine like terms: 0 + -16 = -16
16v + v2 = -16

The v term is 16v.  Take half its coefficient (8).
Square it (64) and add it to both sides.

Add '64' to each side of the equation.
16v + 64 + v2 = -16 + 64

Reorder the terms:
64 + 16v + v2 = -16 + 64

Combine like terms: -16 + 64 = 48
64 + 16v + v2 = 48

Factor a perfect square on the left side:
(v + 8)(v + 8) = 48

Calculate the square root of the right side: 6.92820323

Break this problem into two subproblems by setting 
(v + 8) equal to 6.92820323 and -6.92820323.

Subproblem 1

v + 8 = 6.92820323 Simplifying v + 8 = 6.92820323 Reorder the terms: 8 + v = 6.92820323 Solving 8 + v = 6.92820323 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + v = 6.92820323 + -8 Combine like terms: 8 + -8 = 0 0 + v = 6.92820323 + -8 v = 6.92820323 + -8 Combine like terms: 6.92820323 + -8 = -1.07179677 v = -1.07179677 Simplifying v = -1.07179677

Subproblem 2

v + 8 = -6.92820323 Simplifying v + 8 = -6.92820323 Reorder the terms: 8 + v = -6.92820323 Solving 8 + v = -6.92820323 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + v = -6.92820323 + -8 Combine like terms: 8 + -8 = 0 0 + v = -6.92820323 + -8 v = -6.92820323 + -8 Combine like terms: -6.92820323 + -8 = -14.92820323 v = -14.92820323 Simplifying v = -14.92820323

Solution

The solution to the problem is based on the solutions from the subproblems. v = {-1.07179677, -14.92820323}

See similar equations:

| 6(3)=x(5)-x(2) | | 48-h=4h-7 | | 5m-p=7 | | on(x+3)=1 | | logx=-6.7 | | 1.3y-2.9=2.3-0.7y | | X+4Y+34=0 | | 2g-5=5g-14 | | (D+2)(4d-3)= | | 2=4-2k | | -7=40-q | | 14x+9=-3 | | -3(6k+4)=-120 | | 2(x-3)=-5(x-4) | | -39(y-5)=24 | | 7(4+5y)=203 | | 50x+45x=80x+30x | | y^2=x^3+4x^2-9x-36 | | 95x+110x=x | | 56(48x)+27=83(15x)+22 | | Y=0.5x+6x+35 | | 9w+3w-7w-w+2=14 | | 2.5+2x=7.5 | | 2r-r-1=16 | | y=1.345x+4 | | 8x+2=100 | | V^2+8v-15=0 | | 2p=-p+5p | | 2.1+2x=15 | | 2.45-3.1t=12.05 | | 4x+5=10x+2 | | -20c-2c-3c-15c-7c=-16 |

Equations solver categories