x(x+2)(x-3)=0

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


Simplifying
x(x + 2)(x + -3) = 0

Reorder the terms:
x(2 + x)(x + -3) = 0

Reorder the terms:
x(2 + x)(-3 + x) = 0

Multiply (2 + x) * (-3 + x)
x(2(-3 + x) + x(-3 + x)) = 0
x((-3 * 2 + x * 2) + x(-3 + x)) = 0
x((-6 + 2x) + x(-3 + x)) = 0
x(-6 + 2x + (-3 * x + x * x)) = 0
x(-6 + 2x + (-3x + x2)) = 0

Combine like terms: 2x + -3x = -1x
x(-6 + -1x + x2) = 0
(-6 * x + -1x * x + x2 * x) = 0
(-6x + -1x2 + x3) = 0

Solving
-6x + -1x2 + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-6 + -1x + x2) = 0

Factor a trinomial.
x((-2 + -1x)(3 + -1x)) = 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 '(-2 + -1x)' equal to zero and attempt to solve:

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

Subproblem 3
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {0, -2, 3}

See similar equations:

| 8.43-v=-9.32+3v | | y=13+3x | | 3x+5x-14=7+3x | | 3x^2+23x-70=0 | | 8.43-v=-9.32 | | 3(7-2x)=14-8(x-1)+5 | | 7x-23+2x=4-2x | | 2x^4-20x^3=0 | | -13a+97-5a=188-3a | | =(3x^2y^3)(-5xy^11) | | 7x-23=40-2x | | -3g=33 | | 9x^2=2x^3 | | 4y^2=5-y^4 | | n^2-3=0 | | 6x=23x^2+4x^3 | | xy+xy= | | 6-(-6)-6r+2r-8-r= | | r-2s=0 | | -m=2 | | 3=0.05g | | 4500=-900x+8100 | | m^2-19=-8m+1 | | 19r=3.04 | | 19r=36 | | 24k=36 | | 10n=6 | | (n^2-8)=3n+2 | | 6z=54 | | x^4-2x^3+x^2= | | 9x+12x+15x=0 | | -19y=95 |

Equations solver categories