If it's not what You are looking for type in the equation solver your own equation and let us solve it.
-6x(x-13)=-108
We move all terms to the left:
-6x(x-13)-(-108)=0
We add all the numbers together, and all the variables
-6x(x-13)+108=0
We multiply parentheses
-6x^2+78x+108=0
a = -6; b = 78; c = +108;
Δ = b2-4ac
Δ = 782-4·(-6)·108
Δ = 8676
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{8676}=\sqrt{36*241}=\sqrt{36}*\sqrt{241}=6\sqrt{241}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(78)-6\sqrt{241}}{2*-6}=\frac{-78-6\sqrt{241}}{-12} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(78)+6\sqrt{241}}{2*-6}=\frac{-78+6\sqrt{241}}{-12} $
| -6+2a-2=5a+4-4a+20 | | 14*12x=22*10x | | 7w+6+2w=0(w+2) | | (7x+3)(2x-1)=0 | | j+17=94 | | 35=s+15 | | -36=12g-48 | | 8z+z−7z=6 | | n/6=4+2 | | 9x-10x=11 | | -3(k-5)=12 | | 7w+6+2w=18(w+2) | | n/3+6=21 | | 1/5f-22=-25 | | 7d-4+d=12+5d+5 | | b÷8=3 | | 8+-5y=-7 | | 2/21x=21 | | x2+2=123 | | 12u^2+13u+3=0 | | 7(4+6p)=91 | | 7w+6+2w=-35(w+2) | | 13x-6=-108 | | 10-5f=-3f+10 | | 2/9+3n/18=21/36 | | 5x-9=2x-4 | | x-8=-7x−8=−7 | | 6x-4=9x+11 | | 7w+6+2w=2.7(w+2) | | -5=-3+p | | -5=-3=p | | -6(13x)=-108 |