-3v^2+66v-21=0

Simple and best practice solution for -3v^2+66v-21=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 -3v^2+66v-21=0 equation: 


Simplifying
-3v2 + 66v + -21 = 0

Reorder the terms:
-21 + 66v + -3v2 = 0

Solving
-21 + 66v + -3v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-7 + 22v + -1v2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-7 + 22v + -1v2)' equal to zero and attempt to solve:

Simplifying
-7 + 22v + -1v2 = 0

Solving
-7 + 22v + -1v2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
7 + -22v + v2 = 0

Move the constant term to the right:

Add '-7' to each side of the equation.
7 + -22v + -7 + v2 = 0 + -7

Reorder the terms:
7 + -7 + -22v + v2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -22v + v2 = 0 + -7
-22v + v2 = 0 + -7

Combine like terms: 0 + -7 = -7
-22v + v2 = -7

The v term is -22v.  Take half its coefficient (-11).
Square it (121) and add it to both sides.

Add '121' to each side of the equation.
-22v + 121 + v2 = -7 + 121

Reorder the terms:
121 + -22v + v2 = -7 + 121

Combine like terms: -7 + 121 = 114
121 + -22v + v2 = 114

Factor a perfect square on the left side:
(v + -11)(v + -11) = 114

Calculate the square root of the right side: 10.677078252

Break this problem into two subproblems by setting 
(v + -11) equal to 10.677078252 and -10.677078252.


Subproblem 1
v + -11 = 10.677078252

Simplifying
v + -11 = 10.677078252

Reorder the terms:
-11 + v = 10.677078252

Solving
-11 + v = 10.677078252

Solving for variable 'v'.

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

Add '11' to each side of the equation.
-11 + 11 + v = 10.677078252 + 11

Combine like terms: -11 + 11 = 0
0 + v = 10.677078252 + 11
v = 10.677078252 + 11

Combine like terms: 10.677078252 + 11 = 21.677078252
v = 21.677078252

Simplifying
v = 21.677078252


Subproblem 2
v + -11 = -10.677078252

Simplifying
v + -11 = -10.677078252

Reorder the terms:
-11 + v = -10.677078252

Solving
-11 + v = -10.677078252

Solving for variable 'v'.

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

Add '11' to each side of the equation.
-11 + 11 + v = -10.677078252 + 11

Combine like terms: -11 + 11 = 0
0 + v = -10.677078252 + 11
v = -10.677078252 + 11

Combine like terms: -10.677078252 + 11 = 0.322921748
v = 0.322921748

Simplifying
v = 0.322921748


Solution
The solution to the problem is based on the solutions
from the subproblems.
v = {21.677078252, 0.322921748}
Solution
v = {21.677078252, 0.322921748}

See similar equations:

| 9-2/5=3 | | 13z-84=6z | | 5x+55=10x+5 | | -164-3x=6x+97 | | -n+2n=7 | | 5h=6.4 | | y+56=3y+52 | | -7y+4(y+6)=21 | | 5u=2u+18 | | 2h^2-52h=-10 | | -2x-133=67-10x | | 1/5h=6.4 | | 18y=16 | | 2u+19=5u | | M=-6+4m | | -2-x+6x=24-x+5x | | (6+5n)+(8+4d)= | | y^2+26y=-47 | | x+(5)=x | | 27x-9+5=-3x-4 | | 3w+28=56 | | 553/c=181 | | ln(2)+ln(2x^2)=2 | | B(x)=45.00-0.08x | | -56+x=-5x+28 | | f(2n)=x^2-2x | | (70x+8)+(90x-4)+(60x+6)= | | x+4y+-4z=2 | | 20x=2(x+4) | | x+2x=2+x+2 | | ln(y)=-ln(x)+c | | 8y-98=y |

Equations solver categories