6x^3+32x^2-70x=0

Simple and best practice solution for 6x^3+32x^2-70x=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+32x^2-70x=0 equation: 


Simplifying
6x3 + 32x2 + -70x = 0

Reorder the terms:
-70x + 32x2 + 6x3 = 0

Solving
-70x + 32x2 + 6x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-35 + 16x + 3x2) = 0

Factor a trinomial.
2x((-7 + -1x)(5 + -3x)) = 0

Ignore the factor 2.

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 '(-7 + -1x)' equal to zero and attempt to solve:

Simplifying
-7 + -1x = 0

Solving
-7 + -1x = 0

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

Add '7' to each side of the equation.
-7 + 7 + -1x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1x = 0 + 7
-1x = 0 + 7

Combine like terms: 0 + 7 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7

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, -7, 1.666666667}

See similar equations:

| 4-3=7-2(2a+5) | | 6x^3-64x^2-96x=0 | | 2x+4(x+1)=6 | | -4x^3+28x^2-48x=0 | | x^2+53x+52=0 | | 8a-a= | | -4x^3+222x^2-110x=0 | | 2x^3-18x^2+16x=0 | | x*-22x+105=0 | | -7x+2=y | | X*-32x+105=0 | | 4n+3(n-5)+2= | | 25-9v^2= | | 6b+8b^3= | | 12b-11b^2= | | 25x^3-15x^2= | | 2x+8=100 | | 13n^3+8n^2= | | 3a+2b+8a+b= | | 8y-10y^2= | | 2x(4906)=4+x | | (2x^2)+7x-12=0 | | 1650(1+0.05)6= | | 3x^3-17x^2+22x=0 | | 2x^3-34x^2-36x=0 | | -8x^3-32x^2+66x=0 | | -2x^3+24x^2-70x=0 | | 4(d-1)+3(2d-1)-2= | | -6x^3+33x^2-42x=0 | | 3y-6+5y-2= | | -x^3-20x^2-51x=0 | | -5x+9y=-55 |

Equations solver categories