v^2-11v-30=0

Simple and best practice solution for v^2-11v-30=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^2-11v-30=0 equation: 


Simplifying
v2 + -11v + -30 = 0

Reorder the terms:
-30 + -11v + v2 = 0

Solving
-30 + -11v + v2 = 0

Solving for variable 'v'.

Begin completing the square.

Move the constant term to the right:

Add '30' to each side of the equation.
-30 + -11v + 30 + v2 = 0 + 30

Reorder the terms:
-30 + 30 + -11v + v2 = 0 + 30

Combine like terms: -30 + 30 = 0
0 + -11v + v2 = 0 + 30
-11v + v2 = 0 + 30

Combine like terms: 0 + 30 = 30
-11v + v2 = 30

The v term is -11v.  Take half its coefficient (-5.5).
Square it (30.25) and add it to both sides.

Add '30.25' to each side of the equation.
-11v + 30.25 + v2 = 30 + 30.25

Reorder the terms:
30.25 + -11v + v2 = 30 + 30.25

Combine like terms: 30 + 30.25 = 60.25
30.25 + -11v + v2 = 60.25

Factor a perfect square on the left side:
(v + -5.5)(v + -5.5) = 60.25

Calculate the square root of the right side: 7.762087348

Break this problem into two subproblems by setting 
(v + -5.5) equal to 7.762087348 and -7.762087348.


Subproblem 1
v + -5.5 = 7.762087348

Simplifying
v + -5.5 = 7.762087348

Reorder the terms:
-5.5 + v = 7.762087348

Solving
-5.5 + v = 7.762087348

Solving for variable 'v'.

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

Add '5.5' to each side of the equation.
-5.5 + 5.5 + v = 7.762087348 + 5.5

Combine like terms: -5.5 + 5.5 = 0.0
0.0 + v = 7.762087348 + 5.5
v = 7.762087348 + 5.5

Combine like terms: 7.762087348 + 5.5 = 13.262087348
v = 13.262087348

Simplifying
v = 13.262087348


Subproblem 2
v + -5.5 = -7.762087348

Simplifying
v + -5.5 = -7.762087348

Reorder the terms:
-5.5 + v = -7.762087348

Solving
-5.5 + v = -7.762087348

Solving for variable 'v'.

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

Add '5.5' to each side of the equation.
-5.5 + 5.5 + v = -7.762087348 + 5.5

Combine like terms: -5.5 + 5.5 = 0.0
0.0 + v = -7.762087348 + 5.5
v = -7.762087348 + 5.5

Combine like terms: -7.762087348 + 5.5 = -2.262087348
v = -2.262087348

Simplifying
v = -2.262087348


Solution
The solution to the problem is based on the solutions
from the subproblems.
v = {13.262087348, -2.262087348}

See similar equations:

| 2x+45=8x+3 | | -6(5x+1)-2x=9x-88 | | -13=x^3 | | 4/3=6/n | | 500=50x-8x^2 | | 4x^2+16+9=0 | | (4x+5)(3x+10)= | | x+?5+4x=17-3x | | 12a+6y=18 | | 12a+6y= | | 16-3x=-5x+8 | | 10x-5+2=-1 | | 2ax+by=9 | | 4w^3-6w^2=0 | | 4w^3+6w^2=0 | | X^2+4y^2+4x-8y+4=0 | | F(-1)=4x^2+3x+6 | | 4x^3+4x-2=0 | | 2y-7=5(4x-3) | | 4y=-0.04 | | 2x*5=9x-8/5 | | 4y=0.04 | | 3(x+1)-4=4x-21 | | 8(-x+3)=77 | | 3m^2+13m-16=0 | | Z=3+4i | | 3v^2-15v-72=0 | | 50x^2+20x=0 | | 4-3X=-5X+8 | | Log(8x)=log(3x+45) | | X/15-7=-3 | | 5-3.159= |

Equations solver categories