If it's not what You are looking for type in the equation solver your own equation and let us solve it.
(3x+21)(2x-8)=144
We move all terms to the left:
(3x+21)(2x-8)-(144)=0
We multiply parentheses ..
(+6x^2-24x+42x-168)-144=0
We get rid of parentheses
6x^2-24x+42x-168-144=0
We add all the numbers together, and all the variables
6x^2+18x-312=0
a = 6; b = 18; c = -312;
Δ = b2-4ac
Δ = 182-4·6·(-312)
Δ = 7812
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{7812}=\sqrt{36*217}=\sqrt{36}*\sqrt{217}=6\sqrt{217}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(18)-6\sqrt{217}}{2*6}=\frac{-18-6\sqrt{217}}{12} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(18)+6\sqrt{217}}{2*6}=\frac{-18+6\sqrt{217}}{12} $
| 17x-(5x-4)=88 | | 17-6x=-67 | | (x-5)=-61 | | U=9×3.14z | | (x-5)=-65 | | x-5=65 | | 1-3/4+z=22/3 | | 45x=10+7 | | x2−4x−4=0 | | 5+3*x=59 | | x-(x*0.1)=200 | | 7(x+1)+3(x+1)=6x-6 | | 11x+4(x-5)=5(x+4(x-2) | | x2=5(x+360) | | T(n)=3n-10 | | 81x-1=1/2(100x) | | 5u-16=34 | | 4w2=4w+3 | | a=1/2(9+14)11 | | 12=-2.8+k | | 2(x+10=34 | | -2+x/4=-10 | | 11m=-6+5m | | -6(3+x)-10=-6x-4-24x | | -3(4-w)+7=13 | | 50=-x/2 | | 1/6(x-18=5/6 | | 5y+7=7y+1 | | (5x)-(x-6)= | | 30+0.02x=24+0.05x | | 10/3=10/9x | | 12+-2x=36 |