(3x+4)(5x+1)=0

Simple and best practice solution for (3x+4)(5x+1)=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 (3x+4)(5x+1)=0 equation:



(3x+4)(5x+1)=0
We multiply parentheses ..
(+15x^2+3x+20x+4)=0
We get rid of parentheses
15x^2+3x+20x+4=0
We add all the numbers together, and all the variables
15x^2+23x+4=0
a = 15; b = 23; c = +4;
Δ = b2-4ac
Δ = 232-4·15·4
Δ = 289
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{289}=17$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(23)-17}{2*15}=\frac{-40}{30} =-1+1/3 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(23)+17}{2*15}=\frac{-6}{30} =-1/5 $

See similar equations:

| 6√x=294 | | x/3=-9/4 | | 5x+10-x=46 | | 9–8v=-8v | | 3z+1=1-5z | | x+-8.1=9.9 | | x-9/4=9 | | 2g+5g-6=43 | | (x-1)(x+18)=10x | | =+4v5v72 | | 358=39c(-17) | | -20x+13x=21 | | (2x-3)=(4x+7) | | 2n+5-9+22=10 | | -1(2x—4)=4-2x | | 4x-4=(x-1) | | -50=3(1-7x)-(-1)+6x | | 3/4t+5=5 | | 3(5x-4)=9x+2 | | 4x-2=2x=10 | | 3(x+1.55)=2x | | -3=-5z | | 4/r=12 | | 64857x+969x-6x+678=97543 | | x+(x*0.8)=170000 | | -6x+2(x+2)=-32 | | 2/5x×4/5=-2/5 | | 16y^2-40y+25=0 | | 65x=1 | | -4w+2(w+8)=6 | | 4(-8x+5)–(-33x–26)= | | 2-x/x-1=2 |

Equations solver categories