(5+y)(2y+8)=24

Simple and best practice solution for (5+y)(2y+8)=24 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 (5+y)(2y+8)=24 equation: 


Simplifying
(5 + y)(2y + 8) = 24

Reorder the terms:
(5 + y)(8 + 2y) = 24

Multiply (5 + y) * (8 + 2y)
(5(8 + 2y) + y(8 + 2y)) = 24
((8 * 5 + 2y * 5) + y(8 + 2y)) = 24
((40 + 10y) + y(8 + 2y)) = 24
(40 + 10y + (8 * y + 2y * y)) = 24
(40 + 10y + (8y + 2y2)) = 24

Combine like terms: 10y + 8y = 18y
(40 + 18y + 2y2) = 24

Solving
40 + 18y + 2y2 = 24

Solving for variable 'y'.

Reorder the terms:
40 + -24 + 18y + 2y2 = 24 + -24

Combine like terms: 40 + -24 = 16
16 + 18y + 2y2 = 24 + -24

Combine like terms: 24 + -24 = 0
16 + 18y + 2y2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(8 + 9y + y2) = 0

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

Ignore the factor 2.

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:

| 16-6m=1-3m | | 4x+-7x=-9 | | 6y-4=2(2y+1) | | 5y-2(y+2)=5 | | 3x+32=5x-8 | | 2x^2+4x+1=0 | | 7-2x+x^2=0 | | 365+356+x=977 | | a+2(a-2)=2a+3 | | -8-2(p-6)= | | 2n-8=-28 | | 14a-19a= | | x+(x+5)=x+2 | | -4a-5a=0 | | 7(9x+10)=63x-6 | | X^2=2x-7 | | 2(3x-5)=x-10 | | 3*7n+1*4=2*6n+4*7 | | 3.5y-7.2y= | | x+1=34 | | 977=356+365+x | | 4x+12=-16 | | -4.7y-2.3y= | | 4x+2=7+4x | | 10+c(2c)=130 | | -7s+4s=21 | | (Y+5)(2y+8)=24 | | -5(s+3)=-2s | | -390+x=11-67 | | X^2+x=.8 | | 72=2x+30 | | t+(-2)=-66 |

Equations solver categories