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

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


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

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

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

Multiply (3 + 4y) * (3 + y)
(3(3 + y) + 4y * (3 + y)) = -5(4y + 3)
((3 * 3 + y * 3) + 4y * (3 + y)) = -5(4y + 3)
((9 + 3y) + 4y * (3 + y)) = -5(4y + 3)
(9 + 3y + (3 * 4y + y * 4y)) = -5(4y + 3)
(9 + 3y + (12y + 4y2)) = -5(4y + 3)

Combine like terms: 3y + 12y = 15y
(9 + 15y + 4y2) = -5(4y + 3)

Reorder the terms:
9 + 15y + 4y2 = -5(3 + 4y)
9 + 15y + 4y2 = (3 * -5 + 4y * -5)
9 + 15y + 4y2 = (-15 + -20y)

Solving
9 + 15y + 4y2 = -15 + -20y

Solving for variable 'y'.

Reorder the terms:
9 + 15 + 15y + 20y + 4y2 = -15 + -20y + 15 + 20y

Combine like terms: 9 + 15 = 24
24 + 15y + 20y + 4y2 = -15 + -20y + 15 + 20y

Combine like terms: 15y + 20y = 35y
24 + 35y + 4y2 = -15 + -20y + 15 + 20y

Reorder the terms:
24 + 35y + 4y2 = -15 + 15 + -20y + 20y

Combine like terms: -15 + 15 = 0
24 + 35y + 4y2 = 0 + -20y + 20y
24 + 35y + 4y2 = -20y + 20y

Combine like terms: -20y + 20y = 0
24 + 35y + 4y2 = 0

Factor a trinomial.
(8 + y)(3 + 4y) = 0


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 '(3 + 4y)' equal to zero and attempt to solve:

Simplifying
3 + 4y = 0

Solving
3 + 4y = 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 + 4y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4y = 0 + -3
4y = 0 + -3

Combine like terms: 0 + -3 = -3
4y = -3

Divide each side by '4'.
y = -0.75

Simplifying
y = -0.75
Solution
y = {-8, -0.75}

See similar equations:

| 2y-5=15y+34 | | 3p-7=0 | | 4X^2-8X-273=0 | | 2x-15=-51 | | -8+n=14 | | 4X^2-12X+9-225=0 | | (s-5/9)^2 | | 3s^2=22s+16 | | t^2+10t+24= | | (9v+4)(5v-3)=0 | | 9i/7-4i | | x+-5=19 | | ((9a-5b)/2a)-((6a-7b)/2a) | | 22500/150= | | (2+3i)(4i)= | | y=(1/x)^2 | | 2/y9-5/9 | | 9b^2+21b+1=-9 | | x/40=3/4 | | 36/62.4=x/100 | | 15000000000=x-(.05x) | | ((Y^(4/3)•x^(-4))^(1/5) | | 0.92x=4400 | | 6y-4y-2=3y-6+6 | | 8x-9=8x-3 | | 40x+56=220 | | 20=16+x | | Y^-6/y^4 | | c=(y-6)h | | 10x-5=8x | | 7(9y-5)-(6y+9)= | | 2x+4=12x-9 |

Equations solver categories