(3y+5)(y+5)=-4(3y+5)

Simple and best practice solution for (3y+5)(y+5)=-4(3y+5) 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+5)(y+5)=-4(3y+5) equation: 


Simplifying
(3y + 5)(y + 5) = -4(3y + 5)

Reorder the terms:
(5 + 3y)(y + 5) = -4(3y + 5)

Reorder the terms:
(5 + 3y)(5 + y) = -4(3y + 5)

Multiply (5 + 3y) * (5 + y)
(5(5 + y) + 3y * (5 + y)) = -4(3y + 5)
((5 * 5 + y * 5) + 3y * (5 + y)) = -4(3y + 5)
((25 + 5y) + 3y * (5 + y)) = -4(3y + 5)
(25 + 5y + (5 * 3y + y * 3y)) = -4(3y + 5)
(25 + 5y + (15y + 3y2)) = -4(3y + 5)

Combine like terms: 5y + 15y = 20y
(25 + 20y + 3y2) = -4(3y + 5)

Reorder the terms:
25 + 20y + 3y2 = -4(5 + 3y)
25 + 20y + 3y2 = (5 * -4 + 3y * -4)
25 + 20y + 3y2 = (-20 + -12y)

Solving
25 + 20y + 3y2 = -20 + -12y

Solving for variable 'y'.

Reorder the terms:
25 + 20 + 20y + 12y + 3y2 = -20 + -12y + 20 + 12y

Combine like terms: 25 + 20 = 45
45 + 20y + 12y + 3y2 = -20 + -12y + 20 + 12y

Combine like terms: 20y + 12y = 32y
45 + 32y + 3y2 = -20 + -12y + 20 + 12y

Reorder the terms:
45 + 32y + 3y2 = -20 + 20 + -12y + 12y

Combine like terms: -20 + 20 = 0
45 + 32y + 3y2 = 0 + -12y + 12y
45 + 32y + 3y2 = -12y + 12y

Combine like terms: -12y + 12y = 0
45 + 32y + 3y2 = 0

Factor a trinomial.
(9 + y)(5 + 3y) = 0


Subproblem 1
Set the factor '(9 + y)' equal to zero and attempt to solve:

Simplifying
9 + y = 0

Solving
9 + y = 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 + y = 0 + -9

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

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

Simplifying
y = -9

Subproblem 2
Set the factor '(5 + 3y)' equal to zero and attempt to solve:

Simplifying
5 + 3y = 0

Solving
5 + 3y = 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 + 3y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3y = 0 + -5
3y = 0 + -5

Combine like terms: 0 + -5 = -5
3y = -5

Divide each side by '3'.
y = -1.666666667

Simplifying
y = -1.666666667
Solution
y = {-9, -1.666666667}

See similar equations:

| 525/165 | | n+3-5=7-10 | | -6(x-2)+4(3-6x)=-30 | | 7w-(6w-5)=7 | | x-5/x+3*2x+6/5x-25 | | 5x+2-12/4 | | 8+124+24= | | -3+P=-31 | | -1.428571429*2= | | 17.5/h | | 3x+11+4x-1= | | 2x^2-72/4x-24 | | 2(3.7)-5+4= | | 30(x-10)x=120 | | 100-t^2=0 | | 4x-5+x+3+5x-3= | | 5/3x=8 | | 2x-2y=36 | | 2x^2-8=0factored | | 16x^4y-8x^3y^2= | | x+x+x+x+18=106 | | 2x^2+6x-20=70 | | 4/4x-16 | | 21a+11=10a | | -9(x+5)=6-8x | | 3^2/3^6 | | 13x+7(-3y-1)=-63 | | w=1500-150t | | 2b-3.4=-17.4 | | 450000+22000x=0 | | 7/2x+8=x+10 | | 3x^3(7x^2-2x+7)= |

Equations solver categories