v^2-24v+16=0

Simple and best practice solution for v^2-24v+16=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^2-24v+16=0 equation: 


Simplifying
v2 + -24v + 16 = 0

Reorder the terms:
16 + -24v + v2 = 0

Solving
16 + -24v + v2 = 0

Solving for variable 'v'.

Begin completing the square.

Move the constant term to the right:

Add '-16' to each side of the equation.
16 + -24v + -16 + v2 = 0 + -16

Reorder the terms:
16 + -16 + -24v + v2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -24v + v2 = 0 + -16
-24v + v2 = 0 + -16

Combine like terms: 0 + -16 = -16
-24v + v2 = -16

The v term is -24v.  Take half its coefficient (-12).
Square it (144) and add it to both sides.

Add '144' to each side of the equation.
-24v + 144 + v2 = -16 + 144

Reorder the terms:
144 + -24v + v2 = -16 + 144

Combine like terms: -16 + 144 = 128
144 + -24v + v2 = 128

Factor a perfect square on the left side:
(v + -12)(v + -12) = 128

Calculate the square root of the right side: 11.313708499

Break this problem into two subproblems by setting 
(v + -12) equal to 11.313708499 and -11.313708499.


Subproblem 1
v + -12 = 11.313708499

Simplifying
v + -12 = 11.313708499

Reorder the terms:
-12 + v = 11.313708499

Solving
-12 + v = 11.313708499

Solving for variable 'v'.

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

Add '12' to each side of the equation.
-12 + 12 + v = 11.313708499 + 12

Combine like terms: -12 + 12 = 0
0 + v = 11.313708499 + 12
v = 11.313708499 + 12

Combine like terms: 11.313708499 + 12 = 23.313708499
v = 23.313708499

Simplifying
v = 23.313708499


Subproblem 2
v + -12 = -11.313708499

Simplifying
v + -12 = -11.313708499

Reorder the terms:
-12 + v = -11.313708499

Solving
-12 + v = -11.313708499

Solving for variable 'v'.

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

Add '12' to each side of the equation.
-12 + 12 + v = -11.313708499 + 12

Combine like terms: -12 + 12 = 0
0 + v = -11.313708499 + 12
v = -11.313708499 + 12

Combine like terms: -11.313708499 + 12 = 0.686291501
v = 0.686291501

Simplifying
v = 0.686291501


Solution
The solution to the problem is based on the solutions
from the subproblems.
v = {23.313708499, 0.686291501}

See similar equations:

| 12v^3+20v^2-48V=0 | | (-a-4b+3)5ab= | | 7k+12-4.5=18 | | 2x^2+25x-14=0 | | -15t^2+135t-270=0 | | -27-7x=10x+24 | | 7.5m+3-3.5=-15 | | 5r^2+24r-5=0 | | 7a+16-3a=-11 | | 5.3n+5.8+1.7n=-29.2 | | 8c^2-64c+120=0 | | 96t-16t^2=0 | | x*x+100=16*16+x*x | | 4w^2+12w+9=0 | | 2-2w+4w=16 | | 4w^2+12w+4=0 | | 4x+26=2x+78 | | .02*(20(3x^2+1))=0 | | 36x^3-45x^2+28x-35=0 | | .02(20(3x^2+1))=0 | | 6644.24=3.14*r^2 | | -4-7= | | r^2-20tw+5wr-4tr=0 | | 42x*x=50x*x-20x | | x^2-44x=0 | | (-5g)(2g)= | | -24x^5-8x^4=0 | | 288cu=LWH | | 24x*x=160x | | x+2=x-4 | | r^2+11r-84=0 | | (x+4)(x-4)(x+2)(x-2)= |

Equations solver categories