162b^3-8b=0

Simple and best practice solution for 162b^3-8b=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 162b^3-8b=0 equation:


Simplifying
162b3 + -8b = 0

Reorder the terms:
-8b + 162b3 = 0

Solving
-8b + 162b3 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '2b'.
2b(-4 + 81b2) = 0

Factor a difference between two squares.
2b((2 + 9b)(-2 + 9b)) = 0

Ignore the factor 2.

Subproblem 1

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

Subproblem 2

Set the factor '(2 + 9b)' equal to zero and attempt to solve: Simplifying 2 + 9b = 0 Solving 2 + 9b = 0 Move all terms containing b to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 9b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 9b = 0 + -2 9b = 0 + -2 Combine like terms: 0 + -2 = -2 9b = -2 Divide each side by '9'. b = -0.2222222222 Simplifying b = -0.2222222222

Subproblem 3

Set the factor '(-2 + 9b)' equal to zero and attempt to solve: Simplifying -2 + 9b = 0 Solving -2 + 9b = 0 Move all terms containing b to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 9b = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 9b = 0 + 2 9b = 0 + 2 Combine like terms: 0 + 2 = 2 9b = 2 Divide each side by '9'. b = 0.2222222222 Simplifying b = 0.2222222222

Solution

b = {0, -0.2222222222, 0.2222222222}

See similar equations:

| 60a=44a^2-8a^3 | | 8n+17=9n+-8 | | 2r*4=8 | | 49h=h^3 | | 2r/4=8 | | 4x+186=10x+114 | | 49k=h^3 | | 6r+4=16 | | (5y+3)(2+y)=0 | | Ac^2+box+c=0 | | 15.83+.09x=16.58-.07x | | 3(n^2-15)+4n=4n(n-3)+19 | | 15x-44=66-7x | | 3(n+2)+(4-n)=5(2n-4)+6 | | 6+11a+12-3a= | | -3.9t=-262.47 | | 5t^2+15t+2=0 | | 60-7r=r^2 | | 3.5n+6.4= | | 9x-10=4x-25 | | h(t)=x^2+64x+t | | h(t)=x^2+64t+t | | -38+7x=34+4x | | 10x-56=3x+133 | | N(n-4.6)=0 | | -39+11x=19+9x | | (K-4)(k-8)=5 | | 8.7a-6.7=48.11 | | 4(x+2)(x+1)-24=6(x^2-3x+2)-2(x^2+2) | | (9h+2)(2h+1)=0 | | -104+10x=-5x+166 | | 9.6t+6.77=-86.35 |

Equations solver categories