(x+3)(7x+4)=0

Simple and best practice solution for (x+3)(7x+4)=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 (x+3)(7x+4)=0 equation:



(x+3)(7x+4)=0
We multiply parentheses ..
(+7x^2+4x+21x+12)=0
We get rid of parentheses
7x^2+4x+21x+12=0
We add all the numbers together, and all the variables
7x^2+25x+12=0
a = 7; b = 25; c = +12;
Δ = b2-4ac
Δ = 252-4·7·12
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{-(25)-17}{2*7}=\frac{-42}{14} =-3 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(25)+17}{2*7}=\frac{-8}{14} =-4/7 $

See similar equations:

| -p^2+5p-1=-3 | | 8p^2-2p+1=-8p | | 2a+41=180 | | -2b-9b-10=-10 | | 7x^2+4x+17=8 | | 7(r+7)=5r+56 | | 4m^2+6m-10=0 | | -18=-8x+3 | | 14d=15.6 | | 3y-5y=(-7)+21 | | 9(x-7)=-3(x-9) | | (-2)=8-5n | | 7x-4=(-18) | | (-26)=5p-1 | | 845=15(13+f) | | 4m-2=(-14) | | 3a-6=(-18) | | (-9)=2n-1 | | 4=0.4d+12/10 | | 4w+10w=42 | | x^2-8x-16=3 | | (4x+5)/7+3x=x/9-(1/9) | | (3/4)(x+39.99)=20 | | -x-10=72 | | -2x+6=90 | | 11=23-4a | | -12=9x^2 | | 4=9x^2-16 | | 10x-44=7x13 | | -3t+16=25 | | 6x-2/3-162=0 | | 5003-x=876 |

Equations solver categories