12x^3-17x^2-5x=0

Simple and best practice solution for 12x^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 12x^3-17x^2-5x=0 equation: 


Simplifying
12x3 + -17x2 + -5x = 0

Reorder the terms:
-5x + -17x2 + 12x3 = 0

Solving
-5x + -17x2 + 12x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-5 + -17x + 12x2) = 0

Factor a trinomial.
x((-1 + -4x)(5 + -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 '(-1 + -4x)' equal to zero and attempt to solve:

Simplifying
-1 + -4x = 0

Solving
-1 + -4x = 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 + -4x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -4x = 0 + 1
-4x = 0 + 1

Combine like terms: 0 + 1 = 1
-4x = 1

Divide each side by '-4'.
x = -0.25

Simplifying
x = -0.25

Subproblem 3
Set the factor '(5 + -3x)' equal to zero and attempt to solve:

Simplifying
5 + -3x = 0

Solving
5 + -3x = 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 + -3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = 0 + -5
-3x = 0 + -5

Combine like terms: 0 + -5 = -5
-3x = -5

Divide each side by '-3'.
x = 1.666666667

Simplifying
x = 1.666666667
Solution
x = {0, -0.25, 1.666666667}

See similar equations:

| 12x^3-17x^2-5x= | | x=-4x+1 | | 14+y=27 | | [x-8]=20 | | -3x^2-12=0 | | x=3x+3 | | 65-7x=20x+23 | | x=x^3+2x | | x=4x-3 | | 2x^4-9x^3+21x^2-54x+54=0 | | 3(5g+4)-4=33 | | (n)=n^2+4+2n | | 3y+19=y+29 | | 3d+6=2d+13 | | xy+6x=2y+1 | | 8(x-2)=2.4 | | -13x-9=-6 | | 8(a+1)=73.6 | | 2.5n+34=-2(1-7n)+2.5n | | 16y=8x+32 | | -1.2=2c-3 | | 6(x)-3=1 | | 6x^3-15x^2=0 | | 3e-4=11.6 | | f(5)=(3*5+4)-(2-4) | | x^2=32-4x | | 3x+15=7x+21 | | 3v^2+14v+8= | | 3x^2-2x=3x-7x^2 | | -18=-6-y | | y^2-4y-8=3x | | 9c-8=19 |

Equations solver categories