6x^3-17x^2+5x=0

Simple and best practice solution for 6x^3-17x^2+5x=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^3-17x^2+5x=0 equation:


Simplifying
6x3 + -17x2 + 5x = 0

Reorder the terms:
5x + -17x2 + 6x3 = 0

Solving
5x + -17x2 + 6x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(5 + -17x + 6x2) = 0

Factor a trinomial.
x((1 + -3x)(5 + -2x)) = 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 '(1 + -3x)' equal to zero and attempt to solve: Simplifying 1 + -3x = 0 Solving 1 + -3x = 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 + -3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 0 + -1 -3x = 0 + -1 Combine like terms: 0 + -1 = -1 -3x = -1 Divide each side by '-3'. x = 0.3333333333 Simplifying x = 0.3333333333

Subproblem 3

Set the factor '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5

Solution

x = {0, 0.3333333333, 2.5}

See similar equations:

| x-45=396 | | -2x+6=4x-3 | | -x-49=0 | | (18a^2-6a+16)*(3a-1)= | | (18a^2-6a+16)by(3a-1)= | | ab+6a+5b+30= | | 3x-10+4x=5x-7 | | 22+r=36 | | P(x+3)=5x+18 | | x^2-3*y*x=3 | | -3(2x+4)=18 | | 6k-2z=12 | | 3x=2x+x-5 | | 6r^2+r=12 | | 8z+z-13=32 | | 6x+6=9x+9 | | 2y-1=y+11 | | 12z-5=16 | | R-2k=15 | | (x-5/2)=10 | | (6x^4y^2)(2xy^2)= | | 15+2q=9 | | 2x+2+2x+2+3x-3=15 | | x^2-3*x=7 | | 8x-5=-11 | | 8*-5=-11 | | 110=4x-12 | | 4x-12=110 | | G=f-D | | (3x-6)(3x+6)=0 | | (2x^2+x^2+4.5x+8)-(x^4+x^2+x+4)=0 | | 3c+5d=7d-6c |

Equations solver categories