4c^3-24c^2-108c=0

Simple and best practice solution for 4c^3-24c^2-108c=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 4c^3-24c^2-108c=0 equation:


Simplifying
4c3 + -24c2 + -108c = 0

Reorder the terms:
-108c + -24c2 + 4c3 = 0

Solving
-108c + -24c2 + 4c3 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '4c'.
4c(-27 + -6c + c2) = 0

Factor a trinomial.
4c((-3 + -1c)(9 + -1c)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor 'c' equal to zero and attempt to solve: Simplifying c = 0 Solving c = 0 Move all terms containing c to the left, all other terms to the right. Simplifying c = 0

Subproblem 2

Set the factor '(-3 + -1c)' equal to zero and attempt to solve: Simplifying -3 + -1c = 0 Solving -3 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1c = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1c = 0 + 3 -1c = 0 + 3 Combine like terms: 0 + 3 = 3 -1c = 3 Divide each side by '-1'. c = -3 Simplifying c = -3

Subproblem 3

Set the factor '(9 + -1c)' equal to zero and attempt to solve: Simplifying 9 + -1c = 0 Solving 9 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1c = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1c = 0 + -9 -1c = 0 + -9 Combine like terms: 0 + -9 = -9 -1c = -9 Divide each side by '-1'. c = 9 Simplifying c = 9

Solution

c = {0, -3, 9}

See similar equations:

| 2x-14=-3x | | cos(2t)-sin(t)=0 | | y=3-6x-x^3-y^3 | | 7(x+4)=1-5 | | 6.75/3.375 | | 3x-45=30 | | 3x+18y=-15 | | 4t^3-16t^2-180t=0 | | 4/51/5 | | 7+7y=4x+4z | | -120+30= | | 3-2x=5x-6 | | .25x=3.375 | | r=p/n | | 4y+4z=7+7x | | 10(x-5)=71 | | 2x(7-2)/(16/3)= | | (3z-1)(5-z)=0 | | 47-4x=11-8x | | 4-3e=-8 | | -30*x^4+360*x^3=0 | | 30(80)+0.60x=0.40(80+x) | | ln(5x-3)+ln(x-3)=ln(9) | | 2(3x+7)=2x-19 | | 21n^2=4-5n | | 3x-17=3x-17 | | 989/196 | | 19x=44 | | 6r=2.4 | | 9y+5x=45 | | 2d=15-3d | | x^2+0x+4=0 |

Equations solver categories