8(c^3-c)=c(6c+1)

Simple and best practice solution for 8(c^3-c)=c(6c+1) 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 8(c^3-c)=c(6c+1) equation: 


Simplifying
8(c3 + -1c) = c(6c + 1)

Reorder the terms:
8(-1c + c3) = c(6c + 1)
(-1c * 8 + c3 * 8) = c(6c + 1)
(-8c + 8c3) = c(6c + 1)

Reorder the terms:
-8c + 8c3 = c(1 + 6c)
-8c + 8c3 = (1 * c + 6c * c)
-8c + 8c3 = (1c + 6c2)

Solving
-8c + 8c3 = 1c + 6c2

Solving for variable 'c'.

Reorder the terms:
-8c + -1c + -6c2 + 8c3 = 1c + 6c2 + -1c + -6c2

Combine like terms: -8c + -1c = -9c
-9c + -6c2 + 8c3 = 1c + 6c2 + -1c + -6c2

Reorder the terms:
-9c + -6c2 + 8c3 = 1c + -1c + 6c2 + -6c2

Combine like terms: 1c + -1c = 0
-9c + -6c2 + 8c3 = 0 + 6c2 + -6c2
-9c + -6c2 + 8c3 = 6c2 + -6c2

Combine like terms: 6c2 + -6c2 = 0
-9c + -6c2 + 8c3 = 0

Factor out the Greatest Common Factor (GCF), 'c'.
c(-9 + -6c + 8c2) = 0

Factor a trinomial.
c((-3 + -4c)(3 + -2c)) = 0


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 + -4c)' equal to zero and attempt to solve:

Simplifying
-3 + -4c = 0

Solving
-3 + -4c = 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 + -4c = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -4c = 0 + 3
-4c = 0 + 3

Combine like terms: 0 + 3 = 3
-4c = 3

Divide each side by '-4'.
c = -0.75

Simplifying
c = -0.75

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

Simplifying
3 + -2c = 0

Solving
3 + -2c = 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 + -2c = 0 + -3

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

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

Divide each side by '-2'.
c = 1.5

Simplifying
c = 1.5
Solution
c = {0, -0.75, 1.5}

See similar equations:

| 6b=b+21 | | -25p=-75 | | 14.36+x=58.47 | | -11f=-88 | | 8z-(6z-5)=-1 | | 5(t+1)=3(t-3) | | 6+3x+x=-x+8-26+24 | | 6(2+y)=3(3-4) | | 2a=4a+8 | | 8(j-1)=5(j-2) | | 12m^2+7m=-1 | | 4(3y-2)=3(3y+1) | | 0.2p+0.8p-0.6p= | | 3v-16=-v | | 0=4k | | 4h+3=23-h | | 3x^3-23x^2-2x+112=0 | | 3x-3.2=6.4 | | 0.1f-6.5=2(0.8f-1) | | 0.08x=0.232 | | 0.3p+0.2p+0.4p= | | 4x+14=6x+8 | | 2x-2.5=7.5 | | 3-2d=(2d-7) | | x-2.8=1.9 | | 12+3c=8(c-1) | | -8a=32 | | 7y=2y-10 | | .75(-16)+16=x | | 7a-12a= | | 0.6p-4=6 | | 8b+7=3(3b-1) |

Equations solver categories