2x(x-4)(3-2x)=0

Simple and best practice solution for 2x(x-4)(3-2x)=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 2x(x-4)(3-2x)=0 equation: 


Simplifying
2x(x + -4)(3 + -2x) = 0

Reorder the terms:
2x(-4 + x)(3 + -2x) = 0

Multiply (-4 + x) * (3 + -2x)
2x(-4(3 + -2x) + x(3 + -2x)) = 0
2x((3 * -4 + -2x * -4) + x(3 + -2x)) = 0
2x((-12 + 8x) + x(3 + -2x)) = 0
2x(-12 + 8x + (3 * x + -2x * x)) = 0
2x(-12 + 8x + (3x + -2x2)) = 0

Combine like terms: 8x + 3x = 11x
2x(-12 + 11x + -2x2) = 0
(-12 * 2x + 11x * 2x + -2x2 * 2x) = 0
(-24x + 22x2 + -4x3) = 0

Solving
-24x + 22x2 + -4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-12 + 11x + -2x2) = 0

Factor a trinomial.
2x((-4 + x)(3 + -2x)) = 0

Ignore the factor 2.

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 '(-4 + x)' equal to zero and attempt to solve:

Simplifying
-4 + x = 0

Solving
-4 + x = 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 + x = 0 + 4

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

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

Simplifying
x = 4

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, 4, 1.5}

See similar equations:

| 5u-12=18 | | 4(2p+4q+6)=0 | | (-2x+700)(x+20)-(-x^2+700)=0 | | =-4a(2b-3c) | | -115=3x-2(-6x-10) | | 8/5x-7/4x | | 2(3x+3)=-2(2x-5)-5x | | 9*n=-54 | | 7x+15x=44 | | x^2+40x-700=0 | | =2x(3x-5y) | | X+x^2-6=6 | | 0=b^2-15b-18819 | | x+(x*.33)=1000 | | 2x-5(x-3)=-8+5x-25 | | 68+13m=159 | | 68m+13=159 | | 20n-51=289 | | 5x/4-2=18 | | -.8+r=12.6 | | 38=-2(21-x)+4(x-4) | | (5x+6)(x-1)-(2x^2+-5x+3)=0 | | 6x+6y=240 | | -108(3.14)=6(3.14)j | | 5x-9x+8=5x+26 | | 10x+12=-112 | | 15x-3=45x+2 | | 9x=7x-24 | | 10x+12=-16 | | 7(y-5)=3(2-y)-1 | | 108=6(2n+2) | | 3.2-5(2)^3/12-16 |

Equations solver categories