3v^2+11v=-8

Simple and best practice solution for 3v^2+11v=-8 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 3v^2+11v=-8 equation:


Simplifying
3v2 + 11v = -8

Reorder the terms:
11v + 3v2 = -8

Solving
11v + 3v2 = -8

Solving for variable 'v'.

Reorder the terms:
8 + 11v + 3v2 = -8 + 8

Combine like terms: -8 + 8 = 0
8 + 11v + 3v2 = 0

Factor a trinomial.
(8 + 3v)(1 + v) = 0

Subproblem 1

Set the factor '(8 + 3v)' equal to zero and attempt to solve: Simplifying 8 + 3v = 0 Solving 8 + 3v = 0 Move all terms containing v to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 3v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3v = 0 + -8 3v = 0 + -8 Combine like terms: 0 + -8 = -8 3v = -8 Divide each side by '3'. v = -2.666666667 Simplifying v = -2.666666667

Subproblem 2

Set the factor '(1 + v)' equal to zero and attempt to solve: Simplifying 1 + v = 0 Solving 1 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + v = 0 + -1 v = 0 + -1 Combine like terms: 0 + -1 = -1 v = -1 Simplifying v = -1

Solution

v = {-2.666666667, -1}

See similar equations:

| 8=-16t^2+34t-4 | | -2(n-5)=-14 | | 4x+2=64+90 | | 5b^2k^2+25bk^2-250k^2= | | 12y+7=5y+56 | | 27+x=39 | | -7n=-295 | | 2x-4=8x+20 | | -2(5r+2)=-6r+28 | | 3(1)=1+1 | | x+44=88 | | 7cosx=4-2sin^2x | | 30=5x-12 | | 7x+4(x+4)=4+8(2x+4) | | -5(1-5a)+5(-8a-2)=-4a-8a | | V=r+at*a | | x+31=62 | | 6x-18+5x+8=180 | | 4m+1=5m | | 30+x=80 | | 5x-8=2x+6x | | 5x+8+6x-18=180 | | 43+x=81 | | 5.08x+64=25.8064+8x | | 3x+47=6x-25 | | 12x+14=15x-25 | | 10x+1=-1 | | 2b+3c=29 | | -5q=-75 | | 20=14n | | 18m+3n=132 | | 9(x+4)=2x |

Equations solver categories