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

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


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

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

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

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

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

Solving
6 + -9x + 3x2 = 0

Solving for variable 'x'.

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

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

Ignore the factor 3.

Subproblem 1

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 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

Solution

x = {1, 2}

See similar equations:

| -26t^2+510t=0 | | 25k+12=-7 | | 15+2(3x-3)=17(2x-8) | | 0.5=0.4y-.25x | | 7(x+1)(x-1)=0 | | -5+1/2=14 | | 15+2(3x-3)=17-2(2x-8) | | 7(x+10)(x-1)=0 | | As=2h+2b | | 0.5=0.4-.25x | | .666x+4=.666x-6 | | 180-96=x | | 6(-x+4)=x-12 | | -4(x-2)(x+1)=0 | | Sin(4x)*Sin(9x)=0 | | sin(4x)sin(9x)=0 | | 3(r-5)-2r=-11+3 | | b=1.2+3.6b | | 6-21=4x-7-3x | | -0.00016185t^4+0.0036148t^3-0.026868t^2+0.07258t-0.04537=0 | | 12-3x+10=7 | | -12x-15=x-12 | | 1.5-6h=-1.83 | | 7x-6x+12=13-5 | | 8m-(3m)=4 | | (2q+3)(2q-3)=0 | | -12n+12=11n-13 | | 5y-6x=4 | | 2x^2+3x-34=10 | | 4+12y=0 | | 3y+2x=120 | | 15x+4y=72 |

Equations solver categories