x(x-4)(x-2)=0

Simple and best practice solution for x(x-4)(x-2)=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-4)(x-2)=0 equation: 


Simplifying
x(x + -4)(x + -2) = 0

Reorder the terms:
x(-4 + x)(x + -2) = 0

Reorder the terms:
x(-4 + x)(-2 + x) = 0

Multiply (-4 + x) * (-2 + x)
x(-4(-2 + x) + x(-2 + x)) = 0
x((-2 * -4 + x * -4) + x(-2 + x)) = 0
x((8 + -4x) + x(-2 + x)) = 0
x(8 + -4x + (-2 * x + x * x)) = 0
x(8 + -4x + (-2x + x2)) = 0

Combine like terms: -4x + -2x = -6x
x(8 + -6x + x2) = 0
(8 * x + -6x * x + x2 * x) = 0
(8x + -6x2 + x3) = 0

Solving
8x + -6x2 + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(8 + -6x + x2) = 0

Factor a trinomial.
x((2 + -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 '(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 '(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, 2, 4}

See similar equations:

| 21/x=7/3 | | -7/8-6=-3/8x-14 | | 9-(1/4)x=6 | | (x-3)/4-1=(x-9)/5 | | (y^2+yx)dx+x^2dy=0 | | 25.50x=10.15x+16885 | | 4(5*12)=(4*n)+(4*12) | | -3a+5b=-12 | | 3(z+5)=2z-10 | | 36-m=5m | | 50.00+1.75x=2.50x+39.99 | | 50=a+b | | 0.02x+0.01=0.05 | | 0.3(30)+0.5x=0.4(30+x) | | 6(x+15)=3(2x+1)+27 | | N/3=7-5 | | 9(9y-3x^3)= | | 5z^2+12z+11=0 | | 8=xy | | 8x/x^2-36=0 | | 0.017857=m+0.428571 | | 3x+20=x+20 | | -2(w+2)+3(x+1)= | | 2(367+5)-27= | | 8y-22-3y=3 | | 3/2-2x=1 | | 10x^3/2x^2 | | 2x+2y=99 | | (3x-8)(8x+3)=0 | | -4(h+2)=3(h-2) | | -4y^2+32y-64=9 | | a=3+-1b |

Equations solver categories