18v^2+24v+12=

Simple and best practice solution for 18v^2+24v+12= 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 18v^2+24v+12= equation: 


Simplifying
18v2 + 24v + 12 = 0

Reorder the terms:
12 + 24v + 18v2 = 0

Solving
12 + 24v + 18v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '6'.
6(2 + 4v + 3v2) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(2 + 4v + 3v2)' equal to zero and attempt to solve:

Simplifying
2 + 4v + 3v2 = 0

Solving
2 + 4v + 3v2 = 0

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

Divide each side by '3'.
0.6666666667 + 1.333333333v + v2 = 0

Move the constant term to the right:

Add '-0.6666666667' to each side of the equation.
0.6666666667 + 1.333333333v + -0.6666666667 + v2 = 0 + -0.6666666667

Reorder the terms:
0.6666666667 + -0.6666666667 + 1.333333333v + v2 = 0 + -0.6666666667

Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000
0.0000000000 + 1.333333333v + v2 = 0 + -0.6666666667
1.333333333v + v2 = 0 + -0.6666666667

Combine like terms: 0 + -0.6666666667 = -0.6666666667
1.333333333v + v2 = -0.6666666667

The v term is 1.333333333v.  Take half its coefficient (0.6666666665).
Square it (0.4444444442) and add it to both sides.

Add '0.4444444442' to each side of the equation.
1.333333333v + 0.4444444442 + v2 = -0.6666666667 + 0.4444444442

Reorder the terms:
0.4444444442 + 1.333333333v + v2 = -0.6666666667 + 0.4444444442

Combine like terms: -0.6666666667 + 0.4444444442 = -0.2222222225
0.4444444442 + 1.333333333v + v2 = -0.2222222225

Factor a perfect square on the left side:
(v + 0.6666666665)(v + 0.6666666665) = -0.2222222225

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| 5x=x-48 | | 50+3.75=50 | | g(x)=3x^2-8+5 | | 69=7v-6 | | 6p^2=-31p-5 | | 1-m=1 | | 6y^2+2y-2= | | 5x^2-17x+14= | | 3(2x-7)= | | 10x^2-20xy+10y^2= | | k-3= | | 3(1-4)x=2(-4x+7) | | 5a^2-3a+15= | | Z+3(5-2z)=25 | | 16x^2-8x-15=209 | | 6n^2+7n-3= | | x^2-3x-1x=13 | | 4y^2+11y+6= | | x^2-20x+75= | | -4x=42 | | 5=2x^2+3x | | 9=9+z | | 3a^2-2a-21= | | 1.2q^2-7=-34 | | 2z^2-11z+15= | | 21n+6=48 | | 6=y-4 | | 2x+45=6x+9 | | 4r^2-25r+6= | | 4(x-6)+8=6(x+3)-8 | | 2(3x+5)+8=12 | | 4x-50=5x+78 |

Equations solver categories