18x^3-39x^2-24x=0

Simple and best practice solution for 18x^3-39x^2-24x=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 18x^3-39x^2-24x=0 equation:


Simplifying
18x3 + -39x2 + -24x = 0

Reorder the terms:
-24x + -39x2 + 18x3 = 0

Solving
-24x + -39x2 + 18x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-8 + -13x + 6x2) = 0

Factor a trinomial.
3x((-1 + -2x)(8 + -3x)) = 0

Ignore the factor 3.

Subproblem 1

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

Subproblem 2

Set the factor '(-1 + -2x)' equal to zero and attempt to solve: Simplifying -1 + -2x = 0 Solving -1 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = 0 + 1 -2x = 0 + 1 Combine like terms: 0 + 1 = 1 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5

Subproblem 3

Set the factor '(8 + -3x)' equal to zero and attempt to solve: Simplifying 8 + -3x = 0 Solving 8 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -3x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = 0 + -8 -3x = 0 + -8 Combine like terms: 0 + -8 = -8 -3x = -8 Divide each side by '-3'. x = 2.666666667 Simplifying x = 2.666666667

Solution

x = {0, -0.5, 2.666666667}

See similar equations:

| 8x+5+7+2x= | | 4(5-x)+6x=8 | | 5-3(2-x)=29 | | 6(x-3)-2(7-x)=8 | | 4x^2=225 | | 2y+8+5y+1= | | 2x+5=2x-10 | | 5(k+3)=2(4k+7)-5 | | r-7r-30=0 | | 4+2m+m= | | 12x^2+7x-12= | | 16-36x-10x^2=0 | | 6x^2-18x-24= | | -4X^2-8X-3=-3-5X^2 | | 4x+16=2x+48 | | 4x^2-10x+6= | | .4x+.25(116-x)=34 | | 8/17=u/12 | | z^3-3j=0 | | 2a+3+5a= | | 5x^4y^3-20x^3y^4=0 | | 8-7x-6-7x=4 | | 3x^2+16x+21= | | 12x-10=32+5x | | 2(x-3)=x-2 | | 113+3h= | | 4(x+0.5)=2(x-1.5) | | 12=7x-6 | | (7x^3-4x^2+8)+(-2x^3-5x^2-1)= | | x^2-10c+24= | | 5x^2+16x-16= | | 3(x+2)=2(2x-1)-12 |

Equations solver categories