4v^2+29v+50=0

Simple and best practice solution for 4v^2+29v+50=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 4v^2+29v+50=0 equation: 


Simplifying
4v2 + 29v + 50 = 0

Reorder the terms:
50 + 29v + 4v2 = 0

Solving
50 + 29v + 4v2 = 0

Solving for variable 'v'.

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

Divide each side by '4'.
12.5 + 7.25v + v2 = 0

Move the constant term to the right:

Add '-12.5' to each side of the equation.
12.5 + 7.25v + -12.5 + v2 = 0 + -12.5

Reorder the terms:
12.5 + -12.5 + 7.25v + v2 = 0 + -12.5

Combine like terms: 12.5 + -12.5 = 0.0
0.0 + 7.25v + v2 = 0 + -12.5
7.25v + v2 = 0 + -12.5

Combine like terms: 0 + -12.5 = -12.5
7.25v + v2 = -12.5

The v term is 7.25v.  Take half its coefficient (3.625).
Square it (13.140625) and add it to both sides.

Add '13.140625' to each side of the equation.
7.25v + 13.140625 + v2 = -12.5 + 13.140625

Reorder the terms:
13.140625 + 7.25v + v2 = -12.5 + 13.140625

Combine like terms: -12.5 + 13.140625 = 0.640625
13.140625 + 7.25v + v2 = 0.640625

Factor a perfect square on the left side:
(v + 3.625)(v + 3.625) = 0.640625

Calculate the square root of the right side: 0.80039053

Break this problem into two subproblems by setting 
(v + 3.625) equal to 0.80039053 and -0.80039053.


Subproblem 1
v + 3.625 = 0.80039053

Simplifying
v + 3.625 = 0.80039053

Reorder the terms:
3.625 + v = 0.80039053

Solving
3.625 + v = 0.80039053

Solving for variable 'v'.

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

Add '-3.625' to each side of the equation.
3.625 + -3.625 + v = 0.80039053 + -3.625

Combine like terms: 3.625 + -3.625 = 0.000
0.000 + v = 0.80039053 + -3.625
v = 0.80039053 + -3.625

Combine like terms: 0.80039053 + -3.625 = -2.82460947
v = -2.82460947

Simplifying
v = -2.82460947


Subproblem 2
v + 3.625 = -0.80039053

Simplifying
v + 3.625 = -0.80039053

Reorder the terms:
3.625 + v = -0.80039053

Solving
3.625 + v = -0.80039053

Solving for variable 'v'.

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

Add '-3.625' to each side of the equation.
3.625 + -3.625 + v = -0.80039053 + -3.625

Combine like terms: 3.625 + -3.625 = 0.000
0.000 + v = -0.80039053 + -3.625
v = -0.80039053 + -3.625

Combine like terms: -0.80039053 + -3.625 = -4.42539053
v = -4.42539053

Simplifying
v = -4.42539053


Solution
The solution to the problem is based on the solutions
from the subproblems.
v = {-2.82460947, -4.42539053}

See similar equations:

| 7x+5=3x-35 | | 7v-6251+-16=257 | | 43x=4257 | | 15u+75-56=469 | | 9x-7y=42 | | 7(v+-4)=42 | | 2w+2(5w+3)=150 | | 8=2(z+2.6) | | 2w+2(w+3)=150 | | 10x+10=-10 | | 7(t+15)+88=998 | | 352=32x | | -(u+964)+944=242 | | 25y=500 | | 9x^2+36x+35=0 | | 4s^2+8s-221=0 | | 3M-4=5M+6 | | v*v=18-7v | | 5k-9=3+2k | | 6m^2-13m=19 | | -4x-(-1)=17 | | -8z+712=-32 | | 6(x+4)=6(2x+1) | | 13a+12=8a-12 | | r*r=-30-11r | | 16s=496 | | 3(3x-2.3)=5x-6.9 | | 8x-4=6x-10 | | (3a-2)(4a+1)=5 | | 9h^2-72h=-119 | | -68=-(m+35) | | -68 = - ( m+ 35) |

Equations solver categories