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

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


Simplifying
-1x(2x + -4)(4 + -2x) = 0

Reorder the terms:
-1x(-4 + 2x)(4 + -2x) = 0

Multiply (-4 + 2x) * (4 + -2x)
-1x(-4(4 + -2x) + 2x * (4 + -2x)) = 0
-1x((4 * -4 + -2x * -4) + 2x * (4 + -2x)) = 0
-1x((-16 + 8x) + 2x * (4 + -2x)) = 0
-1x(-16 + 8x + (4 * 2x + -2x * 2x)) = 0
-1x(-16 + 8x + (8x + -4x2)) = 0

Combine like terms: 8x + 8x = 16x
-1x(-16 + 16x + -4x2) = 0
(-16 * -1x + 16x * -1x + -4x2 * -1x) = 0
(16x + -16x2 + 4x3) = 0

Solving
16x + -16x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(4 + -4x + x2) = 0

Factor a trinomial.
4x((2 + -1x)(2 + -1x)) = 0

Ignore the factor 4.

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 '(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
Solution
x = {0, 2, 2}

See similar equations:

| 3N=64+-5n | | DC=3v-30 | | 7d-15=5d-3 | | -4p+38=14 | | 4x-6=8x+5-9 | | 3x+1=0.4 | | y=10x-28 | | 40.88+x=40.38 | | 3(2x-3)+5(3x+1)=5x-1 | | 22-4=-4+11x | | 108.69=x-20/100 | | B+12=-12 | | -2x^2/x^4 | | 6.5+8.2x=7.2x+10.5 | | 11.24+X=11.57 | | x^4+4x^3-3x^2+40x+208=0 | | x-20/100=108.69 | | d=2m+5m | | y/6-7=8 | | 24=12x-12 | | 9x+5x+4=2x-5 | | 2x+7=27-8x | | Ax=am-at | | 6x-1(3x+8)=18 | | 3(x+5)-2(x-3)=11-(7-2x) | | -98=7(k-6) | | y=3/5=10 | | -15+11=6y | | 10x+5=9x-11 | | 3u+34=7(u+2) | | Ln(x^2)=ln(36) | | 8n+15= |

Equations solver categories