(6x+7)(3x-16)=180

Simple and best practice solution for (6x+7)(3x-16)=180 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 (6x+7)(3x-16)=180 equation:



(6x+7)(3x-16)=180
We move all terms to the left:
(6x+7)(3x-16)-(180)=0
We multiply parentheses ..
(+18x^2-96x+21x-112)-180=0
We get rid of parentheses
18x^2-96x+21x-112-180=0
We add all the numbers together, and all the variables
18x^2-75x-292=0
a = 18; b = -75; c = -292;
Δ = b2-4ac
Δ = -752-4·18·(-292)
Δ = 26649
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:
$\sqrt{\Delta}=\sqrt{26649}=\sqrt{81*329}=\sqrt{81}*\sqrt{329}=9\sqrt{329}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-75)-9\sqrt{329}}{2*18}=\frac{75-9\sqrt{329}}{36} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-75)+9\sqrt{329}}{2*18}=\frac{75+9\sqrt{329}}{36} $

See similar equations:

| (1/8)^(x/2)-1=(1/4)^x/3 | | j+26/8=5 | | (x-2)×180°/x=6×180°/x=129° | | 6−5y=–6y | | 2^(3x+1)=7^(2x) | | d-10=44444444444444 | | 1/5x+1=0.75x+12 | | x2+6x+29=0 | | x^10=6594 | | –10r+9=–7r | | Yx10=6594 | | b+10.8=12/45 | | 0.59x+72=1.39x | | k-76/2=9 | | 11m=-(22-9m) | | r.r+36=50 | | y-35=y+35 | | 58=q-7 | | 1/2y≤=-3 | | n.n+23=36 | | (3x-26)x=90 | | 15=y/2+12 | | n.n/3=6 | | –3−9v=–7−5v | | 5h–7=5(h+2)+3 | | m=20=81 | | 6=t/7 | | 2x2−5x+13=  7x+137x+13 | | 6=t7 | | 144+25=x² | | m-45=41 | | 1+4x-2x=13–6 |

Equations solver categories