x(x+6)(x-4)=0

Simple and best practice solution for x(x+6)(x-4)=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+6)(x-4)=0 equation: 


Simplifying
x(x + 6)(x + -4) = 0

Reorder the terms:
x(6 + x)(x + -4) = 0

Reorder the terms:
x(6 + x)(-4 + x) = 0

Multiply (6 + x) * (-4 + x)
x(6(-4 + x) + x(-4 + x)) = 0
x((-4 * 6 + x * 6) + x(-4 + x)) = 0
x((-24 + 6x) + x(-4 + x)) = 0
x(-24 + 6x + (-4 * x + x * x)) = 0
x(-24 + 6x + (-4x + x2)) = 0

Combine like terms: 6x + -4x = 2x
x(-24 + 2x + x2) = 0
(-24 * x + 2x * x + x2 * x) = 0
(-24x + 2x2 + x3) = 0

Solving
-24x + 2x2 + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-24 + 2x + x2) = 0

Factor a trinomial.
x((-6 + -1x)(4 + -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 '(-6 + -1x)' equal to zero and attempt to solve:

Simplifying
-6 + -1x = 0

Solving
-6 + -1x = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = 0 + 6
-1x = 0 + 6

Combine like terms: 0 + 6 = 6
-1x = 6

Divide each side by '-1'.
x = -6

Simplifying
x = -6

Subproblem 3
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

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

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

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {0, -6, 4}

See similar equations:

| 5(x^2)-45(x)+101=1 | | y^2-14y=-30 | | 5n-2-(3n+8)= | | -31+5(6a+9)=60+12a | | 30x+60=-30 | | -2y+8=-2(3y+8) | | x-36=-36 | | -4(4k-3)=-9k-51 | | -14=4u+6 | | 480=lwh | | 17-5z=-38 | | 3x+6=8+3x-6 | | -17+10x=-9 | | 5(2+9n)=51+4n | | 7+8c-4= | | 2x-6=0.25y | | 2k^2-k+3+5k+3k-7= | | x^2-18x-79=0 | | 5x+39=2x+47 | | X+5x+2=6x-2x | | 4w-2=-14 | | 8.5y=51 | | 7(2x)-3=25x+1 | | 10.99m=7.99m+6 | | 42+6k=-6(k-9) | | (x-8)(x-10)=1 | | 6w-10+(-18w)=40 | | 10k+6=256 | | 1.12=1.2m+0.32 | | 12(-11m-3)-6m=-36-5m | | -10x+-20=3x-20 | | -4k+3k+91=-1 |

Equations solver categories