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

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


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

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

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

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

Multiply (-3 + 2x) * (-2 + 4x)
x(-3(-2 + 4x) + 2x * (-2 + 4x)) = 0
x((-2 * -3 + 4x * -3) + 2x * (-2 + 4x)) = 0
x((6 + -12x) + 2x * (-2 + 4x)) = 0
x(6 + -12x + (-2 * 2x + 4x * 2x)) = 0
x(6 + -12x + (-4x + 8x2)) = 0

Combine like terms: -12x + -4x = -16x
x(6 + -16x + 8x2) = 0
(6 * x + -16x * x + 8x2 * x) = 0
(6x + -16x2 + 8x3) = 0

Solving
6x + -16x2 + 8x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(3 + -8x + 4x2) = 0

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

Simplifying
1 + -2x = 0

Solving
1 + -2x = 0

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

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

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

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

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5

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, 0.5, 1.5}

See similar equations:

| 1/2(x+7)=1/3(10x+2) | | (4x^3)-2x=5 | | (N-24)+3=7 | | h(a)=-3a+5 | | g(t)=1t | | 3(2x+1)-(x-2)=2(x+4) | | f(n)=n^2+2 | | 2(x+1)=(3x-2)+1 | | y=15-x | | 3(x+2)+2(x-3)=10 | | 6x+35+9x=15(x+14)-25 | | h(x)=-4x | | 4*(2-x)=-3*(x+2) | | 4(x+4)=2(x-3) | | 2*x+3=4*(x+4) | | 4-(x-5)=x+9 | | 8-3x=4(x-3)+6 | | 20-5x=4-13x | | 4-(x-5)=x+8 | | 2x+4+3x+1+90=180 | | 5(2x+3)=-15 | | 6x+5+11x+90=180 | | 6x-9=x-(6-2x) | | 15x-36-3x=120 | | 3(2x+3)=-3 | | 9x-16=24 | | 13=8+5(2y-7) | | 59-4x=7x+20 | | 19x+17x+27x=180 | | 15n-6=4 | | 3y-8=8 | | 3n=10.1+9.9-2n |

Equations solver categories