6x^3-25x^2+24x=0

Simple and best practice solution for 6x^3-25x^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 6x^3-25x^2+24x=0 equation: 


Simplifying
6x3 + -25x2 + 24x = 0

Reorder the terms:
24x + -25x2 + 6x3 = 0

Solving
24x + -25x2 + 6x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(24 + -25x + 6x2) = 0

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


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 '(3 + -2x)' equal to zero and attempt to solve:

Simplifying
3 + -2x = 0

Solving
3 + -2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + -2x = 0 + -3

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

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

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

Simplifying
x = 1.5

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, 1.5, 2.666666667}

See similar equations:

| 5-6x=110+9x | | c+34=62 | | 6x^3-25x^2+24=0 | | -3+8(-0.25)= | | 3m+6=15 | | 2m+2+2m=-2 | | 5x-4(x+2)=14 | | 3y-(2-3y)=40 | | 6s^2-5s+1=0 | | 3(x+3)-2=4(x-1) | | 8m^3+26m^2+15m=0 | | 10x^3+45x^3=0 | | 2-7(x-1)=5(-2x-3) | | 2(y-3)=7b-4 | | 385=15n-85 | | 8x-34=4x+46 | | 5b-6=11 | | -8(-6x+1)=36+4x | | 15y^3+4y+17y^2=0 | | 8.2(x+0.8)-12.2=3(x+6)-7 | | -15n+16=-29n | | v-21=13 | | 7d+11+17d+5=136 | | 8(x+7)=16+3x | | 3(5x-5)=2(5x+20) | | k-4-2k+8= | | 2x^3+5x^2-25x=0 | | -18=-22m | | 46=11b+5b-8-7b | | 2x+4(5x+8)=142 | | 32m+72=124 | | 3(x-2)+2=6x-4 |

Equations solver categories