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

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


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

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

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

Multiply (-4 + y) * (4 + y)
y(-4(4 + y) + y(4 + y)) = 0
y((4 * -4 + y * -4) + y(4 + y)) = 0
y((-16 + -4y) + y(4 + y)) = 0
y(-16 + -4y + (4 * y + y * y)) = 0
y(-16 + -4y + (4y + y2)) = 0

Combine like terms: -4y + 4y = 0
y(-16 + 0 + y2) = 0
y(-16 + y2) = 0
(-16 * y + y2 * y) = 0
(-16y + y3) = 0

Solving
-16y + y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(-16 + y2) = 0

Factor a difference between two squares.
y((4 + y)(-4 + y)) = 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 + y)' equal to zero and attempt to solve:

Simplifying
4 + y = 0

Solving
4 + y = 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 + y = 0 + -4

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

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

Simplifying
y = -4

Subproblem 3
Set the factor '(-4 + y)' equal to zero and attempt to solve:

Simplifying
-4 + y = 0

Solving
-4 + y = 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 + y = 0 + 4

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

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

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

See similar equations:

| 2cos^2x-1=1 | | 6x+4y=18 | | x^3-5x^2-4x=60 | | (y^2+1)(y-4)=0 | | ln(x-5)=ln(3x+1) | | y(y-2)(y-2)=0 | | ln(2x)+ln(x-5)=ln(3) | | ln(3x-1)=ln(x+5) | | factorX^2+7x+10= | | Y=0.33x-4 | | -4w^2-9w-7=0 | | 8p^2+32p-168=0 | | Y/3.2=-2.1 | | 16lnx=30 | | (4x^3+0-3-23)/(x^2-1) | | M(m-3)(m+2)=0 | | -3x(5x+25)=0 | | 30=-16t^2+40t-27 | | 1/4m+9=16 | | M/0.6=20 | | f(-2)=-2x^3-3 | | 18+3/2r=-18 | | 3k(k-7)=0 | | 9x^3y-42x^2y^2+49xy^3= | | 3c-9y=35 | | 2h=1.8 | | x+3(2x-r)=-19 | | 0=-16t^2+40t-27 | | 2/3x-5/x=7/10-3/2x+1 | | 4x-13=12x+9 | | 8y-13=7y+2 | | 9x^2+27x-180=0 |

Equations solver categories