(3-y)(4y-7)=0

Simple and best practice solution for (3-y)(4y-7)=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 (3-y)(4y-7)=0 equation:



(3-y)(4y-7)=0
We add all the numbers together, and all the variables
(-1y+3)(4y-7)=0
We multiply parentheses ..
(-4y^2+7y+12y-21)=0
We get rid of parentheses
-4y^2+7y+12y-21=0
We add all the numbers together, and all the variables
-4y^2+19y-21=0
a = -4; b = 19; c = -21;
Δ = b2-4ac
Δ = 192-4·(-4)·(-21)
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(19)-5}{2*-4}=\frac{-24}{-8} =+3 $
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(19)+5}{2*-4}=\frac{-14}{-8} =1+3/4 $

See similar equations:

| v+9/3+1=-80 | | -3d=60 | | 7q+3=(5+8q) | | -4/5x+8=16 | | 27x-5+10x=180 | | -4m=12-3m | | 3+5t=38 | | -0.2(1-x)=4(4=0.1x) | | -9=-1+x/8 | | (3+y)(4y-7y)=0 | | 2(y-5)=3y-22 | | 3.04-2.5c-5.6c=-19.53-11.8c | | -5g=20-3g | | 10^6=-10^n-1 | | 66=f-(-37) | | F(a)=a^2-4a | | 3h-15h=12 | | 155-2p=210-3p | | -5(x−1)−4=6(x+3) | | 0.8+35x=-7x-43 | | 13y-17=29(5/7)-3 | | 6(w–4)=–18 | | n-8-3n+9=-7n+6 | | 19n=19+20n | | 2x+4=5×-6 | | 9(x-4)+6=4x+5(-5+x) | | 0.8+35=-7x-43 | | x*3.5=180 | | 3g=-63 | | |b+3|=|2b−2| | | 2(w-10)=6w-14 | | -25-3x=14 |

Equations solver categories