(3y-9)(y-9)=0

Simple and best practice solution for (3y-9)(y-9)=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 (3y-9)(y-9)=0 equation:



(3y-9)(y-9)=0
We multiply parentheses ..
(+3y^2-27y-9y+81)=0
We get rid of parentheses
3y^2-27y-9y+81=0
We add all the numbers together, and all the variables
3y^2-36y+81=0
a = 3; b = -36; c = +81;
Δ = b2-4ac
Δ = -362-4·3·81
Δ = 324
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{324}=18$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-36)-18}{2*3}=\frac{18}{6} =3 $
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-36)+18}{2*3}=\frac{54}{6} =9 $

See similar equations:

| 40x-x^2=450 | | 2=k2^2 | | 0.25*c=12.96-c | | -5+7y=73-y | | 7x+20=5x | | 72-9=7+n | | 5y+13=93 | | b· 35= 34 | | 4(2x+6)=(x-7) | | 24+3x=3x+3*6 | | 4(4y+11)+3y=6 | | 5-(2x+7)/3=8x | | 5z=8z=243 | | 5x-(-2x+4x)-3x=10 | | -8=5x-13 | | Y=5m+40 | | 2(-3-3x)=0 | | X•0.5+8=14-x | | 0.33(0.2x-1)+0.35x=0.05(3x+7-1.44 | | 8w+5/2=9w+9/4+16 | | 42a=-432-a2 | | -7x-3x+2=+8x-8 | | 6=2(u-3)-5u | | 12+8x=100 | | 1/2x+3=-9 | | 300/7=n | | 420=-432-a2 | | 7x+2=10-9x | | 7x-(3x-8)-(700-200)=-4900 | | 500x=400/x | | (z-4)(z+3)=60 | | 7/6=3x/54 |

Equations solver categories