v^2-10v-8=0

Simple and best practice solution for v^2-10v-8=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-8=0 equation: 


Simplifying
v2 + -10v + -8 = 0

Reorder the terms:
-8 + -10v + v2 = 0

Solving
-8 + -10v + v2 = 0

Solving for variable 'v'.

Begin completing the square.

Move the constant term to the right:

Add '8' to each side of the equation.
-8 + -10v + 8 + v2 = 0 + 8

Reorder the terms:
-8 + 8 + -10v + v2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -10v + v2 = 0 + 8
-10v + v2 = 0 + 8

Combine like terms: 0 + 8 = 8
-10v + v2 = 8

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 = 8 + 25

Reorder the terms:
25 + -10v + v2 = 8 + 25

Combine like terms: 8 + 25 = 33
25 + -10v + v2 = 33

Factor a perfect square on the left side:
(v + -5)(v + -5) = 33

Calculate the square root of the right side: 5.744562647

Break this problem into two subproblems by setting 
(v + -5) equal to 5.744562647 and -5.744562647.


Subproblem 1
v + -5 = 5.744562647

Simplifying
v + -5 = 5.744562647

Reorder the terms:
-5 + v = 5.744562647

Solving
-5 + v = 5.744562647

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 = 5.744562647 + 5

Combine like terms: -5 + 5 = 0
0 + v = 5.744562647 + 5
v = 5.744562647 + 5

Combine like terms: 5.744562647 + 5 = 10.744562647
v = 10.744562647

Simplifying
v = 10.744562647


Subproblem 2
v + -5 = -5.744562647

Simplifying
v + -5 = -5.744562647

Reorder the terms:
-5 + v = -5.744562647

Solving
-5 + v = -5.744562647

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 = -5.744562647 + 5

Combine like terms: -5 + 5 = 0
0 + v = -5.744562647 + 5
v = -5.744562647 + 5

Combine like terms: -5.744562647 + 5 = -0.744562647
v = -0.744562647

Simplifying
v = -0.744562647


Solution
The solution to the problem is based on the solutions
from the subproblems.
v = {10.744562647, -0.744562647}

See similar equations:

| -5x-17=-10x+33 | | 4x^2+100=7x^2-200 | | 184/5 | | 2W=a-2L | | 2(3x+5)=5(6-x) | | -2(x+8)-(4x-8)=-14 | | .75a=.625 | | 3p+6+2p=-14 | | d+(-10)+10= | | -5(n+12)=-4-(n-12) | | 5/184=12x | | 2+5x-10.5+2x-10.5= | | 4x-1+3x=7+12x | | 6x+5(4x-2)=8x+21 | | 5-7u=10 | | 40+14j=2(-4j+13) | | 184/5=12x | | 10x-6(x+4)=-12 | | 4x^4=53x^2-49 | | Y-57=-49 | | 2/n=9/3 | | 6x-(3-2x)=21 | | 6y-4x+2=0 | | 4x^4=53x-49 | | 2(x+3)=4+10(x+7) | | 5x-7-3=12 | | 6x+11y=97 | | -8(2m-9)=-(-2+9m) | | n-4=2n+5 | | 6x+5-3x=11x-2x+9 | | 15.3+12.2= | | 3,7,9,12,x=8 |

Equations solver categories