10c^3+6c^2-4c=0

Simple and best practice solution for 10c^3+6c^2-4c=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 10c^3+6c^2-4c=0 equation:


Simplifying
10c3 + 6c2 + -4c = 0

Reorder the terms:
-4c + 6c2 + 10c3 = 0

Solving
-4c + 6c2 + 10c3 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '2c'.
2c(-2 + 3c + 5c2) = 0

Factor a trinomial.
2c((-1 + -1c)(2 + -5c)) = 0

Ignore the factor 2.

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

Subproblem 3

Set the factor '(2 + -5c)' equal to zero and attempt to solve: Simplifying 2 + -5c = 0 Solving 2 + -5c = 0 Move all terms containing c to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5c = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5c = 0 + -2 -5c = 0 + -2 Combine like terms: 0 + -2 = -2 -5c = -2 Divide each side by '-5'. c = 0.4 Simplifying c = 0.4

Solution

c = {0, -1, 0.4}

See similar equations:

| 7x^2-20+12=0 | | 5(x+6)(x+2)=0 | | (5x-2)(3x-7)=0 | | 2n(n-4)=0 | | a(3x+8a)=b-18x | | -(1+4n)=-2n-13 | | m(m+8)=0 | | 6-24x^2-8x^4= | | -11=7n | | -4u=56 | | 3r(r+4)=0 | | 11n=-55 | | -9w=-81 | | (x-3)(7x+5)=0 | | -7(n+8)=-91 | | r-11=-27 | | 3x^2+14x-24=0 | | b(b+7)=0 | | 10b=-10 | | -17+x=-19 | | 7x(3x+8)=0 | | 4x+3=3-(x-23) | | x=11y | | (x-4)(x-8)=0 | | 36=7x-12-10x | | 4(2x-1)=3(6+3x) | | 7(-6x+5)=-259 | | (p+8)(p-8)=0 | | 7-(6x+5)=-259 | | 8(5n+1)(3n+4)=0 | | 6(x+3)(x-7)=0 | | 7(x+6)(3x+1)=0 |

Equations solver categories