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

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


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

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

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

Multiply (4 + 5y) * (4 + y)
(4(4 + y) + 5y * (4 + y)) = -5(5y + 4)
((4 * 4 + y * 4) + 5y * (4 + y)) = -5(5y + 4)
((16 + 4y) + 5y * (4 + y)) = -5(5y + 4)
(16 + 4y + (4 * 5y + y * 5y)) = -5(5y + 4)
(16 + 4y + (20y + 5y2)) = -5(5y + 4)

Combine like terms: 4y + 20y = 24y
(16 + 24y + 5y2) = -5(5y + 4)

Reorder the terms:
16 + 24y + 5y2 = -5(4 + 5y)
16 + 24y + 5y2 = (4 * -5 + 5y * -5)
16 + 24y + 5y2 = (-20 + -25y)

Solving
16 + 24y + 5y2 = -20 + -25y

Solving for variable 'y'.

Reorder the terms:
16 + 20 + 24y + 25y + 5y2 = -20 + -25y + 20 + 25y

Combine like terms: 16 + 20 = 36
36 + 24y + 25y + 5y2 = -20 + -25y + 20 + 25y

Combine like terms: 24y + 25y = 49y
36 + 49y + 5y2 = -20 + -25y + 20 + 25y

Reorder the terms:
36 + 49y + 5y2 = -20 + 20 + -25y + 25y

Combine like terms: -20 + 20 = 0
36 + 49y + 5y2 = 0 + -25y + 25y
36 + 49y + 5y2 = -25y + 25y

Combine like terms: -25y + 25y = 0
36 + 49y + 5y2 = 0

Factor a trinomial.
(9 + y)(4 + 5y) = 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 '(4 + 5y)' equal to zero and attempt to solve:

Simplifying
4 + 5y = 0

Solving
4 + 5y = 0

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

Add '-4' to each side of the equation.
4 + -4 + 5y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 5y = 0 + -4
5y = 0 + -4

Combine like terms: 0 + -4 = -4
5y = -4

Divide each side by '5'.
y = -0.8

Simplifying
y = -0.8
Solution
y = {-9, -0.8}

See similar equations:

| (n-1)*3=15 | | 9a+8=62 | | y^2+2y+26=0 | | n+12=11 | | (5x+7)=180 | | (x-9)(x-1)=0 | | 19x^2-28x=0 | | 9.50(x)-209=0 | | (6-x)(5-3x)= | | x=y-8 | | 2x-5(2x-2)=18 | | -7y=2y^2+3 | | 5(2a-3b+1)= | | 6r^2-54=0 | | 3y-7=20 | | 9p^2-30p+20=0 | | 2(a-2b)+3(2a-3b)= | | -4x=-2x^2+1 | | Y^3+16y-3y^2-48=0 | | x^3+1=65 | | 0.5(x+3)=7.5 | | 5y^2-y+4=0 | | x^2-49x= | | 5x+5-7x=15-12x+10x+10 | | x^2+5x+19= | | w=7h+180 | | 5x+5-7x+15-12X+10x=10 | | 6x-5+5= | | 26+7=71 | | 55x-22=2x+10 | | 2y+x+5=180 | | 4x^2+2y=16-12y |

Equations solver categories