(2y+3)(8-y)=0

Simple and best practice solution for (2y+3)(8-y)=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+3)(8-y)=0 equation: 


Simplifying
(2y + 3)(8 + -1y) = 0

Reorder the terms:
(3 + 2y)(8 + -1y) = 0

Multiply (3 + 2y) * (8 + -1y)
(3(8 + -1y) + 2y * (8 + -1y)) = 0
((8 * 3 + -1y * 3) + 2y * (8 + -1y)) = 0
((24 + -3y) + 2y * (8 + -1y)) = 0
(24 + -3y + (8 * 2y + -1y * 2y)) = 0
(24 + -3y + (16y + -2y2)) = 0

Combine like terms: -3y + 16y = 13y
(24 + 13y + -2y2) = 0

Solving
24 + 13y + -2y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(8 + -1y)(3 + 2y) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(3 + 2y)' equal to zero and attempt to solve:

Simplifying
3 + 2y = 0

Solving
3 + 2y = 0

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

Add '-3' to each side of the equation.
3 + -3 + 2y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2y = 0 + -3
2y = 0 + -3

Combine like terms: 0 + -3 = -3
2y = -3

Divide each side by '2'.
y = -1.5

Simplifying
y = -1.5
Solution
y = {8, -1.5}

See similar equations:

| 7(3n+5)=8(8n+3)+4 | | 3G+4=3G+4 | | a(x-a)-2bx=b(b-2a-x) | | -300+m=-18 | | 8x+4=6x+60 | | x+45(x-13)=x-45 | | X+(4)=-17 | | (2x-1/2y)^6 | | 13(-20-7x)=65-156x | | 4s-2t=7q | | -10+6-(-15)= | | -14*3= | | 5tanx-1=9 | | M-6/3=-4 | | ln(4)+ln(x-1)=ln(17) | | y-2.4/x=1 | | 12x^2-y-1=0 | | 1/20=4/5d | | (4x - 5y)(4x - 7y)=0 | | -8b-3=-2(4b+6) | | 36x^2-3y-3=0 | | (-3x-5y+1)+(8x-2y-9)= | | y^2+5y+25= | | -6y+15=-27 | | 5x=146 | | 4x-4y+7= | | -14+3x=82-6x | | 0.5(x+2)-.8(x+2)=-3x-.6 | | 0.5(x+2)-.8(x+2)=-3-.6 | | 4+y+3=2y+5y-27 | | -7/8x-3/× | | 17=0.35r |

Equations solver categories