v^2-14v-38=-8

Simple and best practice solution for v^2-14v-38=-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 v^2-14v-38=-8 equation: 


Simplifying
v2 + -14v + -38 = -8

Reorder the terms:
-38 + -14v + v2 = -8

Solving
-38 + -14v + v2 = -8

Solving for variable 'v'.

Reorder the terms:
-38 + 8 + -14v + v2 = -8 + 8

Combine like terms: -38 + 8 = -30
-30 + -14v + v2 = -8 + 8

Combine like terms: -8 + 8 = 0
-30 + -14v + v2 = 0

Begin completing the square.

Move the constant term to the right:

Add '30' to each side of the equation.
-30 + -14v + 30 + v2 = 0 + 30

Reorder the terms:
-30 + 30 + -14v + v2 = 0 + 30

Combine like terms: -30 + 30 = 0
0 + -14v + v2 = 0 + 30
-14v + v2 = 0 + 30

Combine like terms: 0 + 30 = 30
-14v + v2 = 30

The v term is -14v.  Take half its coefficient (-7).
Square it (49) and add it to both sides.

Add '49' to each side of the equation.
-14v + 49 + v2 = 30 + 49

Reorder the terms:
49 + -14v + v2 = 30 + 49

Combine like terms: 30 + 49 = 79
49 + -14v + v2 = 79

Factor a perfect square on the left side:
(v + -7)(v + -7) = 79

Calculate the square root of the right side: 8.888194417

Break this problem into two subproblems by setting 
(v + -7) equal to 8.888194417 and -8.888194417.


Subproblem 1
v + -7 = 8.888194417

Simplifying
v + -7 = 8.888194417

Reorder the terms:
-7 + v = 8.888194417

Solving
-7 + v = 8.888194417

Solving for variable 'v'.

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

Add '7' to each side of the equation.
-7 + 7 + v = 8.888194417 + 7

Combine like terms: -7 + 7 = 0
0 + v = 8.888194417 + 7
v = 8.888194417 + 7

Combine like terms: 8.888194417 + 7 = 15.888194417
v = 15.888194417

Simplifying
v = 15.888194417


Subproblem 2
v + -7 = -8.888194417

Simplifying
v + -7 = -8.888194417

Reorder the terms:
-7 + v = -8.888194417

Solving
-7 + v = -8.888194417

Solving for variable 'v'.

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

Add '7' to each side of the equation.
-7 + 7 + v = -8.888194417 + 7

Combine like terms: -7 + 7 = 0
0 + v = -8.888194417 + 7
v = -8.888194417 + 7

Combine like terms: -8.888194417 + 7 = -1.888194417
v = -1.888194417

Simplifying
v = -1.888194417


Solution
The solution to the problem is based on the solutions
from the subproblems.
v = {15.888194417, -1.888194417}

See similar equations:

| 4.9-p=73 | | y=-3/5x+6 | | y=.10x+2.70 | | 8x(x-1)-2x=-(x+50) | | (x+2)=1(x+2) | | F(m)=6x+7 | | y-(7y-56)= | | 9-10(x+3)=20 | | u-5.6=7.48 | | 5-t=1t | | 2x+1=4x-91/4 | | 15x+4y+9x=3 | | -c-4=-3.6 | | 12(x-6)=-3(-7x-9) | | 2x-21+9=x | | 4(7-7n)=112 | | 7.91=2*3.14*r | | 8x-14+4x+1=59 | | 3a-8=a-4 | | 10+2x-4=3x+2 | | 10x-124=97-3x | | 3/u=27/162 | | 2=-8y+2 | | 7.91=2 | | 16=7-3x | | 52=4v | | 3(3+4)=21 | | -13+2x+10=x+7 | | 7n-12=6 | | x+6/10+x-4/15=x+2/5 | | -3(a+2)-(a-6)=20 | | X-2/20=9/5 |

Equations solver categories