2y(y-9)(y+4)=0

Simple and best practice solution for 2y(y-9)(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 2y(y-9)(y+4)=0 equation: 


Simplifying
2y(y + -9)(y + 4) = 0

Reorder the terms:
2y(-9 + y)(y + 4) = 0

Reorder the terms:
2y(-9 + y)(4 + y) = 0

Multiply (-9 + y) * (4 + y)
2y(-9(4 + y) + y(4 + y)) = 0
2y((4 * -9 + y * -9) + y(4 + y)) = 0
2y((-36 + -9y) + y(4 + y)) = 0
2y(-36 + -9y + (4 * y + y * y)) = 0
2y(-36 + -9y + (4y + y2)) = 0

Combine like terms: -9y + 4y = -5y
2y(-36 + -5y + y2) = 0
(-36 * 2y + -5y * 2y + y2 * 2y) = 0
(-72y + -10y2 + 2y3) = 0

Solving
-72y + -10y2 + 2y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2y'.
2y(-36 + -5y + y2) = 0

Factor a trinomial.
2y((-4 + -1y)(9 + -1y)) = 0

Ignore the factor 2.

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 '(9 + -1y)' equal to zero and attempt to solve:

Simplifying
9 + -1y = 0

Solving
9 + -1y = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1y = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1y = 0 + -9
-1y = 0 + -9

Combine like terms: 0 + -9 = -9
-1y = -9

Divide each side by '-1'.
y = 9

Simplifying
y = 9
Solution
y = {0, -4, 9}

See similar equations:

| 4(2h+9)=34+7h | | -i(4-8i)=0 | | 2x-20=x+50 | | (x-12)(x-12)=49 | | -3-(3)(-3)-(-3)= | | -25=5v | | -9(1+6v)=-31 | | -13w=26 | | (4x)*(12x)= | | x*(x+2)=63 | | 2x^3-6x^2-8x+24=0 | | 10(S+6)=-83 | | 4w+3(w-5)=6 | | 7x+2-3x=9 | | 2x-12+80=180 | | 4xy^3=z | | 9x+3y=-45 | | -30=3y+5(y+2) | | 25-7a=-4(a-1) | | -b^2=0 | | 3(-3)-x= | | 4xy^3=y | | -5g^2+400=-100 | | 9x^3-15x=0 | | -7=3(u-5)-5u | | 7(8d-4)=22 | | -6=1(6)+b | | 7y-1=2(y+6)-2 | | 3k^2=15 | | 12n+15+n=-6n+7-3 | | 34=3(n-5) | | 3x-8=23+6 |

Equations solver categories