(6x^3-x^2+3x)-(2x^3+5x^2+x)=0

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


Simplifying
(6x3 + -1x2 + 3x) + -1(2x3 + 5x2 + x) = 0

Reorder the terms:
(3x + -1x2 + 6x3) + -1(2x3 + 5x2 + x) = 0

Remove parenthesis around (3x + -1x2 + 6x3)
3x + -1x2 + 6x3 + -1(2x3 + 5x2 + x) = 0

Reorder the terms:
3x + -1x2 + 6x3 + -1(x + 5x2 + 2x3) = 0
3x + -1x2 + 6x3 + (x * -1 + 5x2 * -1 + 2x3 * -1) = 0
3x + -1x2 + 6x3 + (-1x + -5x2 + -2x3) = 0

Reorder the terms:
3x + -1x + -1x2 + -5x2 + 6x3 + -2x3 = 0

Combine like terms: 3x + -1x = 2x
2x + -1x2 + -5x2 + 6x3 + -2x3 = 0

Combine like terms: -1x2 + -5x2 = -6x2
2x + -6x2 + 6x3 + -2x3 = 0

Combine like terms: 6x3 + -2x3 = 4x3
2x + -6x2 + 4x3 = 0

Solving
2x + -6x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(1 + -3x + 2x2) = 0

Factor a trinomial.
2x((1 + -2x)(1 + -1x)) = 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 '(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 '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

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

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

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

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

Simplifying
x = 1
Solution
x = {0, 0.5, 1}

See similar equations:

| ln(2)+ln(x+8)=ln(19) | | 2x-3+2x-3=x+3 | | 4(2x+9)=-22+18 | | 5x+23=3x+21 | | x^2+4x+13x=0 | | 1/4y-4=-3 | | 2(x-0)=-18 | | x^5-4x^4+3x^3= | | V=w*-2w | | -4(-2y+9)=-4 | | 7x-3x+2=x-4+6 | | f(x)=(x-5)(x-5i)(x+5i) | | 3(x-2)=-2(x+8) | | 40+x=3x | | -3(x-3)=-12 | | 2(x-2)-3=-3 | | -2+6x^2-4x=0 | | a1/2/a^2 | | 2(-2y-10)=36 | | 27/36= | | 3/8x=-30 | | 1600=16t^2+1600 | | 2(-2y+10)=-36 | | x^4-x^3-x-1=0 | | x^5-14x^4+49x^3= | | 2x-50/5 | | 8-4(3-8x)=0 | | 6(4--3/-3 | | 6-9(4x+8)=3 | | 6(4-(-3)/-3 | | 7/5(-8x-1)=9 | | G=tp |

Equations solver categories