y(y-4)(y-8)=0

Simple and best practice solution for y(y-4)(y-8)=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 y(y-4)(y-8)=0 equation: 


Simplifying
y(y + -4)(y + -8) = 0

Reorder the terms:
y(-4 + y)(y + -8) = 0

Reorder the terms:
y(-4 + y)(-8 + y) = 0

Multiply (-4 + y) * (-8 + y)
y(-4(-8 + y) + y(-8 + y)) = 0
y((-8 * -4 + y * -4) + y(-8 + y)) = 0
y((32 + -4y) + y(-8 + y)) = 0
y(32 + -4y + (-8 * y + y * y)) = 0
y(32 + -4y + (-8y + y2)) = 0

Combine like terms: -4y + -8y = -12y
y(32 + -12y + y2) = 0
(32 * y + -12y * y + y2 * y) = 0
(32y + -12y2 + y3) = 0

Solving
32y + -12y2 + y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(32 + -12y + y2) = 0

Factor a trinomial.
y((4 + -1y)(8 + -1y)) = 0


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 '(4 + -1y)' equal to zero and attempt to solve:

Simplifying
4 + -1y = 0

Solving
4 + -1y = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1y = 0 + -4
-1y = 0 + -4

Combine like terms: 0 + -4 = -4
-1y = -4

Divide each side by '-1'.
y = 4

Simplifying
y = 4

Subproblem 3
Set the factor '(8 + -1y)' equal to zero and attempt to solve:

Simplifying
8 + -1y = 0

Solving
8 + -1y = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1y = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1y = 0 + -8
-1y = 0 + -8

Combine like terms: 0 + -8 = -8
-1y = -8

Divide each side by '-1'.
y = 8

Simplifying
y = 8
Solution
y = {0, 4, 8}

See similar equations:

| 7b-2b+3b+4b= | | 8h=9h+8 | | 0.60x+0.05(6-x)=0.10(-30) | | 36=w+9 | | -2n+9=-n+4 | | 30x-18-18x=4(3x-5)+2 | | -4(4m-6)-5(2m-3)=65 | | 4x(2+3)=36 | | 225p^2+256=0 | | -183=3(3-18v) | | 90=1.5(b+2)+15+b+2b-9 | | 6x-3=x+24 | | 2Y+20=28 | | 34=7(1-5r)+4(5r+3) | | 100a^2-9b^2=0 | | 7-4(5x+3)=8-(6x-5) | | 0=t^4-2 | | 42x=21 | | 80x-25x=330 | | 2x-5+2x+1+108=180 | | -(6x-8y+5)= | | 5(7+8a)+3a=35+5a | | 11x^2-6x-9=0 | | -8x-36=-3(x+7) | | 4Y+5=29 | | -84=-7(-3x+3) | | -(5x-2y-32)= | | 12x-32=x(x) | | 20k^2+47k+24=0 | | 1.8x=14 | | 3(w-1)+9=6-2w | | 2+y(2x-1)*(2x-1)=3y+(4x-1)*(x+1) |

Equations solver categories