v^2+10v-3=0

Simple and best practice solution for v^2+10v-3=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+10v-3=0 equation: 


Simplifying
v2 + 10v + -3 = 0

Reorder the terms:
-3 + 10v + v2 = 0

Solving
-3 + 10v + v2 = 0

Solving for variable 'v'.

Begin completing the square.

Move the constant term to the right:

Add '3' to each side of the equation.
-3 + 10v + 3 + v2 = 0 + 3

Reorder the terms:
-3 + 3 + 10v + v2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 10v + v2 = 0 + 3
10v + v2 = 0 + 3

Combine like terms: 0 + 3 = 3
10v + v2 = 3

The v term is 10v.  Take half its coefficient (5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
10v + 25 + v2 = 3 + 25

Reorder the terms:
25 + 10v + v2 = 3 + 25

Combine like terms: 3 + 25 = 28
25 + 10v + v2 = 28

Factor a perfect square on the left side:
(v + 5)(v + 5) = 28

Calculate the square root of the right side: 5.291502622

Break this problem into two subproblems by setting 
(v + 5) equal to 5.291502622 and -5.291502622.


Subproblem 1
v + 5 = 5.291502622

Simplifying
v + 5 = 5.291502622

Reorder the terms:
5 + v = 5.291502622

Solving
5 + v = 5.291502622

Solving for variable 'v'.

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

Add '-5' to each side of the equation.
5 + -5 + v = 5.291502622 + -5

Combine like terms: 5 + -5 = 0
0 + v = 5.291502622 + -5
v = 5.291502622 + -5

Combine like terms: 5.291502622 + -5 = 0.291502622
v = 0.291502622

Simplifying
v = 0.291502622


Subproblem 2
v + 5 = -5.291502622

Simplifying
v + 5 = -5.291502622

Reorder the terms:
5 + v = -5.291502622

Solving
5 + v = -5.291502622

Solving for variable 'v'.

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

Add '-5' to each side of the equation.
5 + -5 + v = -5.291502622 + -5

Combine like terms: 5 + -5 = 0
0 + v = -5.291502622 + -5
v = -5.291502622 + -5

Combine like terms: -5.291502622 + -5 = -10.291502622
v = -10.291502622

Simplifying
v = -10.291502622


Solution
The solution to the problem is based on the solutions
from the subproblems.
v = {0.291502622, -10.291502622}

See similar equations:

| 28=x+12y | | Cos(x)(sin(x)+1)=0 | | 186+x=43 | | x+12y=28 | | 2k+3=2-3(k+3) | | 8w=10+3w | | 2+9*y=65 | | 65-x=54 | | 45+x=78 | | 0.75x+2=0.5x+2 | | 43+x=65 | | 92+x=20 | | 1200+0.10x=1400+0.05x | | 78+x=34 | | 34+x=21 | | (9x)^(-2/3)=4 | | 578-x=251 | | 284-x=453 | | ln(6x)-ln(x+1)=ln(4) | | 675+x=432 | | 1.2x-6.6=3(.5x+.3)-5.4 | | 123+x=456 | | 26-14=3(x-8) | | 654+x=345 | | 435+x=234 | | 6/2x=21 | | 123+x=987 | | 43+x=98 | | 4.1x=45 | | (2c-1)(6c+7)= | | 2(k-1)(k+1)=3(k-1) | | 32+x=54 |

Equations solver categories