9kx^2+12kx+4k=0

Simple and best practice solution for 9kx^2+12kx+4k=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 9kx^2+12kx+4k=0 equation: 


Simplifying
9kx2 + 12kx + 4k = 0

Reorder the terms:
4k + 12kx + 9kx2 = 0

Solving
4k + 12kx + 9kx2 = 0

Solving for variable 'k'.

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

Factor out the Greatest Common Factor (GCF), 'k'.
k(4 + 12x + 9x2) = 0

Factor a trinomial.
k((2 + 3x)(2 + 3x)) = 0


Subproblem 1
Set the factor 'k' equal to zero and attempt to solve:

Simplifying
k = 0

Solving
k = 0

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

Simplifying
k = 0

Subproblem 2
Set the factor '(2 + 3x)' equal to zero and attempt to solve:

Simplifying
2 + 3x = 0

Solving
2 + 3x = 0

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

Add '-2' to each side of the equation.
2 + -2 + 3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3x = 0 + -2
3x = 0 + -2

Combine like terms: 0 + -2 = -2
3x = -2

Add '-3x' to each side of the equation.
3x + -3x = -2 + -3x

Combine like terms: 3x + -3x = 0
0 = -2 + -3x

Simplifying
0 = -2 + -3x

The solution to this equation could not be determined.

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

Subproblem 3
Set the factor '(2 + 3x)' equal to zero and attempt to solve:

Simplifying
2 + 3x = 0

Solving
2 + 3x = 0

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

Add '-2' to each side of the equation.
2 + -2 + 3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3x = 0 + -2
3x = 0 + -2

Combine like terms: 0 + -2 = -2
3x = -2

Add '-3x' to each side of the equation.
3x + -3x = -2 + -3x

Combine like terms: 3x + -3x = 0
0 = -2 + -3x

Simplifying
0 = -2 + -3x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
k = {0}

See similar equations:

| 31-4x=5x+17 | | x=4y+2 | | 1.2+7.5+2.1=63 | | 4x^2y^2-12xy+9=0 | | 4x-5=2x+21 | | -12+x=-3-4+13 | | 3x+38=11x-42 | | 2x^2-32x-56=0 | | 4(2x-3)-3(6-x)=-8 | | 165-4x=6x+15 | | h+3h+4h=0 | | -1-4x=11-7x | | 2x-1=1.5x+6 | | -9b+2b= | | 5x-11=69 | | 3(y-9)=-7(6+y) | | 4(x+6)+8=8x-4(x-6) | | 9x-18=54 | | 7000=25000*.07t | | Y=-1+2x | | -44x-2=-5.5x-4.2 | | 3.6x=2.2x+11.2 | | -8c+4-(5)= | | 6.1x=9.3-3.2x | | 5k=2k+18 | | (2d^2-3d+1)-(d^1+9)= | | x-.10x=70+.35(70) | | (X^3-x-1)-(2x^2-4x-6)= | | 7a=35 | | -5c+2y=4(-7c-x) | | (7-4x+2x^3)-(x^3-4+3x^2)= | | x=19+-4y |

Equations solver categories