(-9+y)(4+y)=4y

Simple and best practice solution for (-9+y)(4+y)=4y 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 (-9+y)(4+y)=4y equation:


Simplifying
(-9 + y)(4 + y) = 4y

Multiply (-9 + y) * (4 + y)
(-9(4 + y) + y(4 + y)) = 4y
((4 * -9 + y * -9) + y(4 + y)) = 4y
((-36 + -9y) + y(4 + y)) = 4y
(-36 + -9y + (4 * y + y * y)) = 4y
(-36 + -9y + (4y + y2)) = 4y

Combine like terms: -9y + 4y = -5y
(-36 + -5y + y2) = 4y

Solving
-36 + -5y + y2 = 4y

Solving for variable 'y'.

Reorder the terms:
-36 + -5y + -4y + y2 = 4y + -4y

Combine like terms: -5y + -4y = -9y
-36 + -9y + y2 = 4y + -4y

Combine like terms: 4y + -4y = 0
-36 + -9y + y2 = 0

Factor a trinomial.
(-3 + -1y)(12 + -1y) = 0

Subproblem 1

Set the factor '(-3 + -1y)' equal to zero and attempt to solve: Simplifying -3 + -1y = 0 Solving -3 + -1y = 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 + -1y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1y = 0 + 3 -1y = 0 + 3 Combine like terms: 0 + 3 = 3 -1y = 3 Divide each side by '-1'. y = -3 Simplifying y = -3

Subproblem 2

Set the factor '(12 + -1y)' equal to zero and attempt to solve: Simplifying 12 + -1y = 0 Solving 12 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1y = 0 + -12 -1y = 0 + -12 Combine like terms: 0 + -12 = -12 -1y = -12 Divide each side by '-1'. y = 12 Simplifying y = 12

Solution

y = {-3, 12}

See similar equations:

| 11-7x=33-21x | | 8x+8=6x+10 | | 2x^4-16x=0 | | 0.6x-4.5=-1.5 | | 137-4x=6x+17 | | -4y+8=-4(2y+6) | | 4+3x-6=3 | | 3(x-1)-15=0 | | -b=48 | | -11-5x=14-10 | | 6x+4-2x=24 | | 11x-187=4x-5 | | 66-6x=21x+18 | | -4.5*7.2=-32.4 | | -4.5q=32.4 | | 67-3x=2x+12 | | p-(-1)=(-7)2 | | x^4=2x^3+24x^2 | | 12r+5+3-5= | | (x+8)(x-1)=(2x+9)(x-1) | | 10x^3=40x | | -5t^2+3t+80=0 | | -6x-3x=-8 | | 0.05(X+300)=5+.15X | | 8x-11=69 | | -5t^2+3t+80=h | | h(t)=-16t^2+88t+4 | | 0=-5t^2+3t+80 | | 2z^2-10z=-12 | | 9n=0.25 | | 5x^2+18x=8 | | a^2=48 |

Equations solver categories