If it's not what You are looking for type in the equation solver your own equation and let us solve it.
(3y+2)(3y-1)=0
We multiply parentheses ..
(+9y^2-3y+6y-2)=0
We get rid of parentheses
9y^2-3y+6y-2=0
We add all the numbers together, and all the variables
9y^2+3y-2=0
a = 9; b = 3; c = -2;
Δ = b2-4ac
Δ = 32-4·9·(-2)
Δ = 81
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{81}=9$$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-9}{2*9}=\frac{-12}{18} =-2/3 $$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+9}{2*9}=\frac{6}{18} =1/3 $
| 5+2×n=37 | | 1/x+1/8+x=1/6 | | (4q-1)(3q+5)=0 | | 4q-1)(3q+5)=0 | | 1/8+1/8+x=1/6 | | c5=-9 | | (Y-6)(4y-7)=0 | | (2g+7)(6g+5)=0 | | K(9k-7)=0 | | 15x-45=15 | | (n+1)(3n-7)=0 | | 4-3z+9-6z=13 | | (Z-1)(5z-7)=0 | | (S+8)(6s-1)=0 | | a÷18=5 | | (C-5)(8c-5)=0 | | x-8x+4=34 | | (4t+9)(t+4)=0 | | y/3+10=y | | 2y+36+7y-9=180 | | 9s(s+7)=0 | | 1/5x+1/2=14 | | 2h(h-9)=0 | | 17=2v-13 | | w(8w-3)=0 | | (9r+7)=0 | | 0.6(x+1)=0.2(3x–5)+0.3 | | (4r-1)=0 | | 2(x+4)=3(x−1)+2 | | 4(x+5)=−4(x−3)+2(x+1) | | d/4=70 | | 4x^2+3x=112 |