3(y+8)(-y-1)=0

Simple and best practice solution for 3(y+8)(-y-1)=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 3(y+8)(-y-1)=0 equation: 


Simplifying
3(y + 8)(-1y + -1) = 0

Reorder the terms:
3(8 + y)(-1y + -1) = 0

Reorder the terms:
3(8 + y)(-1 + -1y) = 0

Multiply (8 + y) * (-1 + -1y)
3(8(-1 + -1y) + y(-1 + -1y)) = 0
3((-1 * 8 + -1y * 8) + y(-1 + -1y)) = 0
3((-8 + -8y) + y(-1 + -1y)) = 0
3(-8 + -8y + (-1 * y + -1y * y)) = 0
3(-8 + -8y + (-1y + -1y2)) = 0

Combine like terms: -8y + -1y = -9y
3(-8 + -9y + -1y2) = 0
(-8 * 3 + -9y * 3 + -1y2 * 3) = 0
(-24 + -27y + -3y2) = 0

Solving
-24 + -27y + -3y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '-3'.
-3(8 + 9y + y2) = 0

Factor a trinomial.
-3((8 + y)(1 + y)) = 0

Ignore the factor -3.

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

Simplifying
8 + y = 0

Solving
8 + y = 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 + y = 0 + -8

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

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

Simplifying
y = -8

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

Simplifying
1 + y = 0

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

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

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

Simplifying
y = -1
Solution
y = {-8, -1}

See similar equations:

| 8+2c=-8 | | 8+2c=8 | | a^2+7a+10=0 | | (3-v)(3v+7)=0 | | 8+2c-11=3 | | X-0.20=60 | | 8+2c-11=-3 | | (u-2)(u-1)=0 | | 5lnx^5-lnx^8=0 | | (z-2)(z+4)=0 | | 0(-2)+5= | | -1(-2)+5= | | u^2+4u-21=0 | | 33=7x+4x | | 0(-2)= | | 5x+30=7x | | u^2-9u+20=0 | | -2(-2)= | | 5x-10+15=4x+12 | | 0(-2)+5=7 | | v^2-5v-6=0 | | .08(50)+0.40x=0.20(50+x) | | -1(-2)+5=7 | | 08(50)+0.40x=0.20(50+x) | | 5k-(3k-6)= | | 3(2r+4)=6(3r-18) | | 5(2x+1)=12x-3 | | 4(5r+15)=10(4r-16) | | 2x(11x+9)=0 | | 5x+2y=60 | | 12x+4y-2=0 | | 2(5x+4)+3(2x+11)=4x-19 |

Equations solver categories