If it's not what You are looking for type in the equation solver your own equation and let us solve it.
6x(x+9)=9x+18
We move all terms to the left:
6x(x+9)-(9x+18)=0
We multiply parentheses
6x^2+54x-(9x+18)=0
We get rid of parentheses
6x^2+54x-9x-18=0
We add all the numbers together, and all the variables
6x^2+45x-18=0
a = 6; b = 45; c = -18;
Δ = b2-4ac
Δ = 452-4·6·(-18)
Δ = 2457
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{2457}=\sqrt{9*273}=\sqrt{9}*\sqrt{273}=3\sqrt{273}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(45)-3\sqrt{273}}{2*6}=\frac{-45-3\sqrt{273}}{12} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(45)+3\sqrt{273}}{2*6}=\frac{-45+3\sqrt{273}}{12} $
| 15v-14v=18 | | -3x-12=7 | | -2(x+2)-3=14 | | 7(w-88)=42 | | 8=2k+8 | | y=-79(83)-19 | | 3y+10=90 | | y/8=3/12y= | | -5x+15=-8 | | 4t-9=19 | | 16x10^x=1 | | 3(2n+5)=39 | | 5a-20(a+10)=360 | | 21+6x=-9 | | c+1/6=5/6 | | (3x-3)+(4x+2)=20 | | -12=x-18 | | 2x-9+9=15+9 | | 8^x+1=16^2x+3 | | 2a+a=24 | | 19d−9d=10 | | p/8-(-28)=30 | | 35=x+14.5 | | 3(2x-1)+4=9 | | 7(v-6)=70 | | 125h+75=750 | | 4x+2x+5+11=28 | | 3(n+4)=31 | | 4(1-x)-2(3x-5)=1+3x | | 8(y+4)=-64 | | (3x-3)+(4x+2)=10 | | -8x+10=-3 |