(3y-40)(4y-32)=

Simple and best practice solution for (3y-40)(4y-32)= 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-40)(4y-32)= equation: 


Simplifying
(3y + -40)(4y + -32) = 0

Reorder the terms:
(-40 + 3y)(4y + -32) = 0

Reorder the terms:
(-40 + 3y)(-32 + 4y) = 0

Multiply (-40 + 3y) * (-32 + 4y)
(-40(-32 + 4y) + 3y * (-32 + 4y)) = 0
((-32 * -40 + 4y * -40) + 3y * (-32 + 4y)) = 0
((1280 + -160y) + 3y * (-32 + 4y)) = 0
(1280 + -160y + (-32 * 3y + 4y * 3y)) = 0
(1280 + -160y + (-96y + 12y2)) = 0

Combine like terms: -160y + -96y = -256y
(1280 + -256y + 12y2) = 0

Solving
1280 + -256y + 12y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '4'.
4(320 + -64y + 3y2) = 0

Factor a trinomial.
4((8 + -1y)(40 + -3y)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(8 + -1y)' equal to zero and attempt to solve:

Simplifying
8 + -1y = 0

Solving
8 + -1y = 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 + -1y = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1y = 0 + -8
-1y = 0 + -8

Combine like terms: 0 + -8 = -8
-1y = -8

Divide each side by '-1'.
y = 8

Simplifying
y = 8

Subproblem 2
Set the factor '(40 + -3y)' equal to zero and attempt to solve:

Simplifying
40 + -3y = 0

Solving
40 + -3y = 0

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

Add '-40' to each side of the equation.
40 + -40 + -3y = 0 + -40

Combine like terms: 40 + -40 = 0
0 + -3y = 0 + -40
-3y = 0 + -40

Combine like terms: 0 + -40 = -40
-3y = -40

Divide each side by '-3'.
y = 13.33333333

Simplifying
y = 13.33333333
Solution
y = {8, 13.33333333}

See similar equations:

| 2j+1=3 | | 1/8-5x/4=1/16 | | -3(n+4)=7n-8 | | 4+3b=19 | | -9u+4u+2u=6 | | 3p+2p=20 | | |x|/-5=-20 | | 3(x)=100+0.5x | | q+4q+q-6q+q=8 | | 4a-8=3a-2 | | -34=7z+22 | | 12g-4g=16 | | 4a+12=(-8a)+16 | | -12w-10w+20w+-16w=18 | | 7x+8=28 | | 10z-5z=15 | | Y+14y+49=0 | | 8s+8=96 | | Log[5](5x-3)-log[5](x)=2 | | 9z-6z=18 | | -3(4u+7)-2u=2(u-2)-7 | | 8a+25=31+10 | | 9z-6x=18 | | 7ab+-3ab-13ab= | | 3(sin)x=(cos)x | | 1/(1.25-2y)=x | | 4x^2/(6x)=7/3 | | -17=2p+35 | | 17r-16r=3 | | 17m+3m=20 | | http://media1.acellus.com/Library/00001022_202_A1.gif | | 9-7(x-5)=-652/3x |

Equations solver categories