v^2-8v+3+16-57=

Simple and best practice solution for v^2-8v+3+16-57= 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^2-8v+3+16-57= equation: 


Simplifying
v2 + -8v + 3 + 16 + -57 = 0

Reorder the terms:
3 + 16 + -57 + -8v + v2 = 0

Combine like terms: 3 + 16 = 19
19 + -57 + -8v + v2 = 0

Combine like terms: 19 + -57 = -38
-38 + -8v + v2 = 0

Solving
-38 + -8v + v2 = 0

Solving for variable 'v'.

Begin completing the square.

Move the constant term to the right:

Add '38' to each side of the equation.
-38 + -8v + 38 + v2 = 0 + 38

Reorder the terms:
-38 + 38 + -8v + v2 = 0 + 38

Combine like terms: -38 + 38 = 0
0 + -8v + v2 = 0 + 38
-8v + v2 = 0 + 38

Combine like terms: 0 + 38 = 38
-8v + v2 = 38

The v term is -8v.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8v + 16 + v2 = 38 + 16

Reorder the terms:
16 + -8v + v2 = 38 + 16

Combine like terms: 38 + 16 = 54
16 + -8v + v2 = 54

Factor a perfect square on the left side:
(v + -4)(v + -4) = 54

Calculate the square root of the right side: 7.348469228

Break this problem into two subproblems by setting 
(v + -4) equal to 7.348469228 and -7.348469228.


Subproblem 1
v + -4 = 7.348469228

Simplifying
v + -4 = 7.348469228

Reorder the terms:
-4 + v = 7.348469228

Solving
-4 + v = 7.348469228

Solving for variable 'v'.

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

Add '4' to each side of the equation.
-4 + 4 + v = 7.348469228 + 4

Combine like terms: -4 + 4 = 0
0 + v = 7.348469228 + 4
v = 7.348469228 + 4

Combine like terms: 7.348469228 + 4 = 11.348469228
v = 11.348469228

Simplifying
v = 11.348469228


Subproblem 2
v + -4 = -7.348469228

Simplifying
v + -4 = -7.348469228

Reorder the terms:
-4 + v = -7.348469228

Solving
-4 + v = -7.348469228

Solving for variable 'v'.

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

Add '4' to each side of the equation.
-4 + 4 + v = -7.348469228 + 4

Combine like terms: -4 + 4 = 0
0 + v = -7.348469228 + 4
v = -7.348469228 + 4

Combine like terms: -7.348469228 + 4 = -3.348469228
v = -3.348469228

Simplifying
v = -3.348469228


Solution
The solution to the problem is based on the solutions
from the subproblems.
v = {11.348469228, -3.348469228}

See similar equations:

| 4x+4=y | | 8.5n+35=56.25 | | 1/8x1/3 | | 10n^2+7=-137 | | 7/4x+1=6/x-5 | | 8/x=14/7 | | .03(4-x)-.05(x+2)=.82 | | -2x+4=-4x-8 | | 8(1-m)+2(4+m)=3(6-3m) | | (7/3)m-(1/3)=2/3 | | 23x2/7 | | -7=-x-8 | | -52-3u=-24 | | 23*2/7 | | 10+8=5x-3 | | 4x-5+2x+5=y-10+2y+5 | | -4+-1y=20+5y | | 3/7x2 | | 2X+10y=24 | | 2v^2-64=0 | | 6x+6y=z | | 2(4x+6)-2=6x+8 | | 7w=-57 | | 7.75=2*3.14 | | -4b-5=3b+19 | | X+5y=-1 | | 6x=3y-5 | | (2^4+x)/16 | | 3^2x-3=14/27-x | | x/5=18/30 | | 7w=-60 | | 5(3k+7)-1=3(5k+k)+4 |

Equations solver categories