(4y-6)(8-y)=0

Simple and best practice solution for (4y-6)(8-y)=0 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-6)(8-y)=0 equation: 


Simplifying
(4y + -6)(8 + -1y) = 0

Reorder the terms:
(-6 + 4y)(8 + -1y) = 0

Multiply (-6 + 4y) * (8 + -1y)
(-6(8 + -1y) + 4y * (8 + -1y)) = 0
((8 * -6 + -1y * -6) + 4y * (8 + -1y)) = 0
((-48 + 6y) + 4y * (8 + -1y)) = 0
(-48 + 6y + (8 * 4y + -1y * 4y)) = 0
(-48 + 6y + (32y + -4y2)) = 0

Combine like terms: 6y + 32y = 38y
(-48 + 38y + -4y2) = 0

Solving
-48 + 38y + -4y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-24 + 19y + -2y2) = 0

Factor a trinomial.
2((-8 + y)(3 + -2y)) = 0

Ignore the factor 2.

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 + -2y)' equal to zero and attempt to solve:

Simplifying
3 + -2y = 0

Solving
3 + -2y = 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 + -2y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2y = 0 + -3
-2y = 0 + -3

Combine like terms: 0 + -3 = -3
-2y = -3

Divide each side by '-2'.
y = 1.5

Simplifying
y = 1.5
Solution
y = {8, 1.5}

See similar equations:

| x+2x+(7x+1)=31 | | 6x^2-6=5 | | m=15mg | | 7x-33=103 | | (y^2-9)(4y^2-8y+6)= | | 9*x=351 | | 15M^2+16m+15=0 | | 7+9x=-11 | | 8d-2d-1d-4-2d= | | 3y^2-7y-5=0 | | 6x=2y-18y | | Log(5z)=2 | | 19.00+1.50h=15.00+2.75h | | (2x-15)+(x+55)=180 | | 2x+1=7x-15 | | x^2-27x+176=0 | | Ln(x+2)-ln(x-2)=ln(x) | | n^2-27n+72=0 | | 20x-8x=9 | | 4(8x+3y)= | | X+.5=3 | | 1.1(4)+1.5y=-7.7 | | x^2-12x+36=26 | | 2x^2+2y^2-36x-2y+162=0 | | log(6x+5)-log(3)=log(2)-log(x) | | -x-7=8-2x | | 5x+3=8x-2 | | 1.1(0)+1.5=-7.7 | | 23-14= | | (x+6)2=20 | | x^4-x^3-39x^2+9x+270=0 | | 8y-3=2y+8 |

Equations solver categories