If it's not what You are looking for type in the equation solver your own equation and let us solve it.
3x(6-x)=9
We move all terms to the left:
3x(6-x)-(9)=0
We add all the numbers together, and all the variables
3x(-1x+6)-9=0
We multiply parentheses
-3x^2+18x-9=0
a = -3; b = 18; c = -9;
Δ = b2-4ac
Δ = 182-4·(-3)·(-9)
Δ = 216
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{216}=\sqrt{36*6}=\sqrt{36}*\sqrt{6}=6\sqrt{6}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(18)-6\sqrt{6}}{2*-3}=\frac{-18-6\sqrt{6}}{-6} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(18)+6\sqrt{6}}{2*-3}=\frac{-18+6\sqrt{6}}{-6} $
| x4-34x=24 | | −9d+8=134 | | A-5/3=5a/6+a-37/9 | | -7/6(w-16)=70 | | 6x3-17x2-26x-8=0 | | (1/3)*x+4=x-2 | | 9x+95=8x+97 | | 3(y-7)-4=-3(-2y+9)-9y | | 6y-7=3y+3 | | 3(x-4)-(x+8=) | | (6x+5)+4x=45 | | y=1000(.85)^8 | | 3x+22+5x-17=90 | | -1/2(12v-20+4=-12-8v | | 1/5x=-1/4 | | 500x+35x=55x | | 2=-6r-4 | | 12-x*3=-54 | | 2=-6r-4-4 | | -7Q=x | | -112=-4(3-5x) | | $10=7-m$ | | -9c+4=41 | | -8(p+2)+p=4(p+3)+3 | | 3/4+1/5x=1/2 | | 18=15-3x | | (1/5)x=1 | | 3(2–x)–4(1–2x)=27 | | 4+2x−x2=0 | | 140+0.20x=70+0.30x | | 4=-7+-5/4k | | 2(2x+4)/3=19 |