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

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


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

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

Multiply (1 + -2y) * (-2 + y)
3y(1(-2 + y) + -2y * (-2 + y)) = 0
3y((-2 * 1 + y * 1) + -2y * (-2 + y)) = 0
3y((-2 + 1y) + -2y * (-2 + y)) = 0
3y(-2 + 1y + (-2 * -2y + y * -2y)) = 0
3y(-2 + 1y + (4y + -2y2)) = 0

Combine like terms: 1y + 4y = 5y
3y(-2 + 5y + -2y2) = 0
(-2 * 3y + 5y * 3y + -2y2 * 3y) = 0
(-6y + 15y2 + -6y3) = 0

Solving
-6y + 15y2 + -6y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '3y'.
3y(-2 + 5y + -2y2) = 0

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

Ignore the factor 3.

Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

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

Simplifying
y = 0

Subproblem 2
Set the factor '(-2 + y)' equal to zero and attempt to solve:

Simplifying
-2 + y = 0

Solving
-2 + y = 0

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

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

Combine like terms: -2 + 2 = 0
0 + y = 0 + 2
y = 0 + 2

Combine like terms: 0 + 2 = 2
y = 2

Simplifying
y = 2

Subproblem 3
Set the factor '(1 + -2y)' equal to zero and attempt to solve:

Simplifying
1 + -2y = 0

Solving
1 + -2y = 0

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

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

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

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

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

Simplifying
y = 0.5
Solution
y = {0, 2, 0.5}

See similar equations:

| 5x-12=2a+6 | | -6x+2x+3=-4x-6 | | 4x+19+8x+17=180 | | 0.6x+0.14-0.2x=0.38 | | 6y+4y=9y+2 | | 3k-7/5=16 | | 2x+18+3x+22=180 | | -6x+2x+3=-4x+3 | | -x+8=-(8-x) | | 6x+10+4x+30=90 | | -6(k+1)-k-6=-7(k+5)+23 | | 4*y-70=12*y+2 | | 5x^2-2=-12 | | x=16-9*x | | 4t^2=6t | | 3x+48=6x+24 | | x^2+ax+4=0 | | (3x+2)-(x+4)=7 | | 11-20x-25y= | | 2x(x+1)=1 | | 4x+5-8+10=2x-12 | | 15-a/3=-9 | | 2x=6(x+9)-10 | | 5=2000+(0.18)(d-6000) | | y=-9x+8 | | 6x+10=13x-32 | | 10(-2+1)=-14(x+2)+38-6x | | 3(m-9)2(m+3)=-6 | | r+13/12=1 | | 5(25-1)=6(25-5) | | x/5=5/10 | | 6y*3t=0 |

Equations solver categories