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

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


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

Reorder the terms:
5y(4 + y) = 4(y + 4)
(4 * 5y + y * 5y) = 4(y + 4)
(20y + 5y2) = 4(y + 4)

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

Solving
20y + 5y2 = 16 + 4y

Solving for variable 'y'.

Reorder the terms:
-16 + 20y + -4y + 5y2 = 16 + 4y + -16 + -4y

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

Reorder the terms:
-16 + 16y + 5y2 = 16 + -16 + 4y + -4y

Combine like terms: 16 + -16 = 0
-16 + 16y + 5y2 = 0 + 4y + -4y
-16 + 16y + 5y2 = 4y + -4y

Combine like terms: 4y + -4y = 0
-16 + 16y + 5y2 = 0

Factor a trinomial.
(-4 + -1y)(4 + -5y) = 0


Subproblem 1
Set the factor '(-4 + -1y)' equal to zero and attempt to solve:

Simplifying
-4 + -1y = 0

Solving
-4 + -1y = 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 + -1y = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1y = 0 + 4
-1y = 0 + 4

Combine like terms: 0 + 4 = 4
-1y = 4

Divide each side by '-1'.
y = -4

Simplifying
y = -4

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 = {-4, 0.8}

See similar equations:

| 10/2*36/6= | | (x=4)/4=x-5 | | 7d/3c | | 2y-7/3(-y)=12 | | z^4-z+1+i=0 | | Y=3.14(3476) | | (a+6)(a+7)=90 | | 10x-20=9x+7 | | x*x=x/x | | (z-9)(z+5)=-48 | | 8=x^2-2x-3 | | y*y=y*y | | 4x+7y=300 | | 3x+3x+x=350 | | 4x+7x=300 | | x^2-32x+2448=0 | | log(4x-1)(x+4)=1 | | -14x-2y=-15 | | X^2+kx+3x+k+2=0 | | 5/6x=1/4x-7 | | 15(X-4)-2(x+3)-3(x+8)=0 | | 3f+2=f-4 | | x^2-10x+121=0 | | 7(25-m)-2m=2(3m-25) | | -(-x+1)-3(5x-2)=-6+(-2x+8) | | 11=6cos(18x)+7 | | 1+8=11-5 | | -36+x^2-5x=0 | | tanx=4x/pi | | 2(x+9+x)=302 | | 2x-2x=12 | | 3/2*x-1=5 |

Equations solver categories