(4y+5)(y+6)=-5(4y+5)

Simple and best practice solution for (4y+5)(y+6)=-5(4y+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 (4y+5)(y+6)=-5(4y+5) equation: 


Simplifying
(4y + 5)(y + 6) = -5(4y + 5)

Reorder the terms:
(5 + 4y)(y + 6) = -5(4y + 5)

Reorder the terms:
(5 + 4y)(6 + y) = -5(4y + 5)

Multiply (5 + 4y) * (6 + y)
(5(6 + y) + 4y * (6 + y)) = -5(4y + 5)
((6 * 5 + y * 5) + 4y * (6 + y)) = -5(4y + 5)
((30 + 5y) + 4y * (6 + y)) = -5(4y + 5)
(30 + 5y + (6 * 4y + y * 4y)) = -5(4y + 5)
(30 + 5y + (24y + 4y2)) = -5(4y + 5)

Combine like terms: 5y + 24y = 29y
(30 + 29y + 4y2) = -5(4y + 5)

Reorder the terms:
30 + 29y + 4y2 = -5(5 + 4y)
30 + 29y + 4y2 = (5 * -5 + 4y * -5)
30 + 29y + 4y2 = (-25 + -20y)

Solving
30 + 29y + 4y2 = -25 + -20y

Solving for variable 'y'.

Reorder the terms:
30 + 25 + 29y + 20y + 4y2 = -25 + -20y + 25 + 20y

Combine like terms: 30 + 25 = 55
55 + 29y + 20y + 4y2 = -25 + -20y + 25 + 20y

Combine like terms: 29y + 20y = 49y
55 + 49y + 4y2 = -25 + -20y + 25 + 20y

Reorder the terms:
55 + 49y + 4y2 = -25 + 25 + -20y + 20y

Combine like terms: -25 + 25 = 0
55 + 49y + 4y2 = 0 + -20y + 20y
55 + 49y + 4y2 = -20y + 20y

Combine like terms: -20y + 20y = 0
55 + 49y + 4y2 = 0

Factor a trinomial.
(11 + y)(5 + 4y) = 0


Subproblem 1
Set the factor '(11 + y)' equal to zero and attempt to solve:

Simplifying
11 + y = 0

Solving
11 + y = 0

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

Add '-11' to each side of the equation.
11 + -11 + y = 0 + -11

Combine like terms: 11 + -11 = 0
0 + y = 0 + -11
y = 0 + -11

Combine like terms: 0 + -11 = -11
y = -11

Simplifying
y = -11

Subproblem 2
Set the factor '(5 + 4y)' equal to zero and attempt to solve:

Simplifying
5 + 4y = 0

Solving
5 + 4y = 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 + 4y = 0 + -5

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

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

Divide each side by '4'.
y = -1.25

Simplifying
y = -1.25
Solution
y = {-11, -1.25}

See similar equations:

| y=3x^2+6 | | 3(x-2)-(2-5x)=4-6(2-3x)-7x | | min(a^2+6a+9)=0 | | 0.25x-2=0.4(x-2) | | (a^2+5a-19)/(a-2) | | 4x-5=x+16 | | 1/4x=1/4 | | (1/2+7r)(1/16-8r)=0 | | 5/2x-1=4/3x | | 14y+6y=48 | | 14y+6y=26 | | 3x^2+6x=189 | | 5*x*x+2=315 | | 1600/50 | | x+2*x*3=189 | | [5(3-5)-1]-[2-(5-2)]= | | 7x^2-96=0 | | y=1275+8x | | 2/3x+1/3x | | 0,5(3+2x)+8=0,2(5x+1) | | x^2=-28y | | 4x=-3+n | | 1/4(2x-8)=7 | | v*45=46-v | | 5/6x3/4 | | 7x+8y-4(9x-2y)= | | w=180+15h | | w=180+15h# | | x^2+4x+3=24 | | 2x+2y+2=0 | | (3w+1)(9-w)=0 | | (5-2X)-(4X-3)=3(5-2X) |

Equations solver categories