(E3)(2x+3)(4x-8)=0

Simple and best practice solution for (E3)(2x+3)(4x-8)=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 (E3)(2x+3)(4x-8)=0 equation:



(3)(2E+3)(4E-8)=0
We multiply parentheses ..
3(+8E^2-16E+12E-24)=0
We multiply parentheses
24E^2-48E+36E-72=0
We add all the numbers together, and all the variables
24E^2-12E-72=0
a = 24; b = -12; c = -72;
Δ = b2-4ac
Δ = -122-4·24·(-72)
Δ = 7056
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$E_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$E_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{7056}=84$
$E_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-12)-84}{2*24}=\frac{-72}{48} =-1+1/2 $
$E_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-12)+84}{2*24}=\frac{96}{48} =2 $

See similar equations:

| 5z+4z=8z+2 | | 6(x-3)+4=2x+6 | | 4(9+5f)=24 | | z/5-4=7/8 | | x^2-(10*2^(1/2))-100=0 | | 95=(2x)+120/3 | | 3x-6=2x+20 | | b2+27b=0 | | x/3+1/6=5/4 | | 9x^2-8x^2=0 | | (x+3)^2-4=0 | | x^2+38x-315=0 | | x^2-10*2^(1/2)-100=0 | | (x^2)=(9x+180) | | 2x^2+10x=-20 | | 7+3×-12x=3×+1 | | 5x-3x+3=15 | | b-7+4b=32 | | 8x+8=8x+-8 | | 2(s+18)-5=-5 | | x/5-7=13/8 | | -z-3=0.25z | | 4/x-5=-1 | | 2⋅√x=12−2 | | 4x+3/7-3x-5/9=-5 | | 4(3c-4)-6=6c+2 | | 5z+2=6z-5 | | m-39=-31 | | X=y-46 | | 6x+14=54−2x | | −4x+6=6x−2 | | −1.3=−1.1y+0.9 |

Equations solver categories