-3y(y-1)(-y-5)=0

Simple and best practice solution for -3y(y-1)(-y-5)=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(y-1)(-y-5)=0 equation: 


Simplifying
-3y(y + -1)(-1y + -5) = 0

Reorder the terms:
-3y(-1 + y)(-1y + -5) = 0

Reorder the terms:
-3y(-1 + y)(-5 + -1y) = 0

Multiply (-1 + y) * (-5 + -1y)
-3y(-1(-5 + -1y) + y(-5 + -1y)) = 0
-3y((-5 * -1 + -1y * -1) + y(-5 + -1y)) = 0
-3y((5 + 1y) + y(-5 + -1y)) = 0
-3y(5 + 1y + (-5 * y + -1y * y)) = 0
-3y(5 + 1y + (-5y + -1y2)) = 0

Combine like terms: 1y + -5y = -4y
-3y(5 + -4y + -1y2) = 0
(5 * -3y + -4y * -3y + -1y2 * -3y) = 0
(-15y + 12y2 + 3y3) = 0

Solving
-15y + 12y2 + 3y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '3y'.
3y(-5 + 4y + y2) = 0

Factor a trinomial.
3y((-5 + -1y)(1 + -1y)) = 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 '(-5 + -1y)' equal to zero and attempt to solve:

Simplifying
-5 + -1y = 0

Solving
-5 + -1y = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1y = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1y = 0 + 5
-1y = 0 + 5

Combine like terms: 0 + 5 = 5
-1y = 5

Divide each side by '-1'.
y = -5

Simplifying
y = -5

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

Simplifying
1 + -1y = 0

Solving
1 + -1y = 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 + -1y = 0 + -1

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

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

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

Simplifying
y = 1
Solution
y = {0, -5, 1}

See similar equations:

| 3+k=21+3k | | 4x-4=13x-62 | | 9x+4x+4+7=9x-3+3x | | (12x^6)/8x | | 5-p/3=62 | | 3x+6=234 | | (2.07)(8.334)-(4.7)(x)=(6.3)(x+1) | | (u-1)(u-8)=0 | | (3w-8)(5-w)=0 | | 5x=80/x | | 16x^2-4x/4x | | X+8=3x-18 | | 2s+1=16 | | 6x+45=0 | | 4a+14-6a=38 | | 3+x=x+8 | | 17x+7=9x+15 | | 3u(u+4)(u+3)=0 | | 17+3d=8d-23 | | 3(a-2)+4=7 | | 138-4x=23x+24 | | 36/6(2+2+2)=n | | -625+5x^2=0 | | -4x=19-8 | | 3(x-1)(x-5)=0 | | (3y-1)(3+y)=0 | | X+2=x+6 | | 6w+26=-6-28w | | (x*(x+1))/2=28 | | 3(x-4)-1=2(2x-7) | | -10x-82=100+4x | | (z+1)(z-8)=0 |

Equations solver categories