3x(x-1)(x-2)=0

Simple and best practice solution for 3x(x-1)(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 3x(x-1)(x-2)=0 equation: 


Simplifying
3x(x + -1)(x + -2) = 0

Reorder the terms:
3x(-1 + x)(x + -2) = 0

Reorder the terms:
3x(-1 + x)(-2 + x) = 0

Multiply (-1 + x) * (-2 + x)
3x(-1(-2 + x) + x(-2 + x)) = 0
3x((-2 * -1 + x * -1) + x(-2 + x)) = 0
3x((2 + -1x) + x(-2 + x)) = 0
3x(2 + -1x + (-2 * x + x * x)) = 0
3x(2 + -1x + (-2x + x2)) = 0

Combine like terms: -1x + -2x = -3x
3x(2 + -3x + x2) = 0
(2 * 3x + -3x * 3x + x2 * 3x) = 0
(6x + -9x2 + 3x3) = 0

Solving
6x + -9x2 + 3x3 = 0

Solving for variable 'x'.

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

Factor a trinomial.
3x((1 + -1x)(2 + -1x)) = 0

Ignore the factor 3.

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 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 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 + -1x = 0 + -1

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

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

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

Simplifying
x = 1

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, 1, 2}

See similar equations:

| 1/5-2/3 | | 1/5-2/36 | | 18x^2/3x^6= | | 37+4y-11=15y-14-3y | | y+9=-7(x-1) | | 3=3x+10 | | -15=2-3 | | x^2+37x+264=0 | | 0.5x-21=3 | | x^2+37x-296=0 | | 12+2(31-2x)=18 | | -3.5+17.3= | | 6+ln(x-1)=8 | | A+4.3=5.1 | | log(3x+1)=2.54 | | 3.45-11.682= | | 23.5+(-62.74)= | | (2x+1)=85 | | 60=7+x*x | | (x-20)[(x-5)(x+26)-150]+3[-32(x+26)-800]-30[96+16(x-5)]=0 | | 4x^2-6=9 | | y=ln((5-x)/(8-x)a) | | 76*43+43*25-43= | | 1.6t+10.1=3.7 | | -4x-17=-1 | | 3a+s=22 | | 7y+8=5y-18 | | 5.9-(-14)= | | 2/3*(4a-15)-1/9*(6a-2) | | 15-3x=15+3x | | 6x-6(x+1)=50 | | 3x-15=3x+15 |

Equations solver categories