2x^3=x(x+3)

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


Simplifying
2x3 = x(x + 3)

Reorder the terms:
2x3 = x(3 + x)
2x3 = (3 * x + x * x)
2x3 = (3x + x2)

Solving
2x3 = 3x + x2

Solving for variable 'x'.

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

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

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

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

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

Factor a trinomial.
x((-1 + -1x)(3 + -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 + -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

Subproblem 3
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
Solution
x = {0, -1, 1.5}

See similar equations:

| 7x-2(2x+5)=5 | | 12x^2+32x-35=0 | | 3-4x=6x+5-8x | | 45/375 | | -4-2x+6x=4 | | 3(x-5)+2=-20 | | 375/5 | | 11-2x=5-4x | | (x-5)-2=-10 | | 5*7/5*2 | | (t-3)/2+(t+3)/4=(8-t)/3+2 | | 35/10 | | x(x+1)(2x-3)=0 | | 7g+14-5g=-18 | | 9(2x-1)+4=-49 | | (.303)(.760-x)=x^2 | | 9(2x-1)+4=49 | | x+54=515 | | (9+u)(4u-5)=0 | | x+3+7x=-53 | | 5(x+1)+6=-21 | | 2(x-1)7x=18-5(x+4) | | 2(5x+3)-2=-14 | | -4(5y+4)= | | 5x+7+2y=17 | | 2[2y-6]+4=8 | | -6+5x-x=-54 | | 2/8=30/x | | 7(a-10)=13-3(2a+3) | | 9x-134=4x-39 | | [8w+2]+2=0 | | p(500)=-0.2x^2+500x-6000 |

Equations solver categories