If it's not what You are looking for type in the equation solver your own equation and let us solve it.
3x(x+2)=68
We move all terms to the left:
3x(x+2)-(68)=0
We multiply parentheses
3x^2+6x-68=0
a = 3; b = 6; c = -68;
Δ = b2-4ac
Δ = 62-4·3·(-68)
Δ = 852
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{852}=\sqrt{4*213}=\sqrt{4}*\sqrt{213}=2\sqrt{213}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-2\sqrt{213}}{2*3}=\frac{-6-2\sqrt{213}}{6} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+2\sqrt{213}}{2*3}=\frac{-6+2\sqrt{213}}{6} $
| 3x-27+14x=78 | | 27-30x=70 | | 3x2+x=68 | | y^2+18y-1075=0 | | -3(x–4)=42 | | 1.5+1.5a=21 | | 8^x=0.7 | | 10−3f=7 | | x=(x^2-6x-16)x=(x-7) | | 3(x+3)-x=2(x-1)+3 | | 18x-9=-9 | | 2p^2+16p=0 | | y^2+5y-126=0 | | (√2n+5)=n+1 | | 0,5x=480 | | y^2+5y-1113=0 | | x+18=x*3 | | a/8=24 | | -4+6k=14 | | 4x2-5x-10=0 | | 4(−15−3p)=−4(−p+5) | | (4x-5)(x+1)=8 | | 74y-y^2-1113=0 | | 10^x=1/x | | 6(x-6)=(x+3) | | 10=5b25 | | 51y-y^2-518=0 | | |7m|=49 | | −33=f/−3 | | 8+4x/2=10 | | 1.2y+(-0.7)=7.1 | | −33=f/−3 |