7x(4x+3)=3x+2

Simple and best practice solution for 7x(4x+3)=3x+2 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 7x(4x+3)=3x+2 equation:



7x(4x+3)=3x+2
We move all terms to the left:
7x(4x+3)-(3x+2)=0
We multiply parentheses
28x^2+21x-(3x+2)=0
We get rid of parentheses
28x^2+21x-3x-2=0
We add all the numbers together, and all the variables
28x^2+18x-2=0
a = 28; b = 18; c = -2;
Δ = b2-4ac
Δ = 182-4·28·(-2)
Δ = 548
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{548}=\sqrt{4*137}=\sqrt{4}*\sqrt{137}=2\sqrt{137}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(18)-2\sqrt{137}}{2*28}=\frac{-18-2\sqrt{137}}{56} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(18)+2\sqrt{137}}{2*28}=\frac{-18+2\sqrt{137}}{56} $

See similar equations:

| 46/18=n/36 | | 3x²+4=151 | | (7t-4t^2)+15*(3t+3)=0 | | 2,1+0,3y=0 | | x/5=2x-4 | | 4j+j=145 | | (3^x)(4^(x+2)=8 | | n/12=9/12n= | | 2t^2+14t-20=0 | | -9+6p=27 | | 9x-21=-20x-87 | | 14,00+160p=24,000-200p | | 14,000+160p=24,000+200p | | 14/6m=7 | | 3(x+6)= 48 | | 9r-17+3r=13 | | -19=-37+8x | | 3c+2=  −10 | | 3c+2=3c+2=  −10 | | 3c+2=3c+2=  −10− | | 2(g-3)-4=2(g-3) | | 34-3m=5m | | y²-y-2/5,y*10y/y+1= | | 2(9+3x)=14+2 | | -2(x+5)=5(x+1.2)+x | | 1/4(2x)=1/8(4x) | | 2(4x-40=10+8x+8 | | -10x+2(5x-9)=-18 | | 4+0.65x=10+0.45x | | –9y+1=9−10y | | -5+8i=0 | | x-0.7*x=30 |

Equations solver categories