If it's not what You are looking for type in the equation solver your own equation and let us solve it.
3x^2-9x=6
We move all terms to the left:
3x^2-9x-(6)=0
a = 3; b = -9; c = -6;
Δ = b2-4ac
Δ = -92-4·3·(-6)
Δ = 153
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{153}=\sqrt{9*17}=\sqrt{9}*\sqrt{17}=3\sqrt{17}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-9)-3\sqrt{17}}{2*3}=\frac{9-3\sqrt{17}}{6} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-9)+3\sqrt{17}}{2*3}=\frac{9+3\sqrt{17}}{6} $
| 3b+38+6b+7=90 | | (7x-4)=2x+13) | | x/9=16/4 | | 15y-15+75=180 | | 9(2a-1)=9 | | t+1/8=t+4/6+8 | | t+1/8=t+4/6-8 | | 6y+12+2y=180 | | 4x×3=39 | | E(x)=45x | | (4x+10)=(2x-10) | | 6n+45=12n-51 | | 5(4x−1.5x)+12=4x−2 | | x-17=65x | | 10y+3y+11=150 | | 2x-7=-23+2x | | 65=x-17 | | -5+3(x+12)-0.5x=56 | | .40x+.60(80-x)=36 | | x+20+x-30=180 | | 3|x−5|+1=16 | | -10+2n=2n-10 | | 3q=14q-11q | | 10d+12=6d-16 | | -3z+8-2=6-3z | | ((2x*2x)+90)=(x*x+115) | | 3x-15+2x+7=90 | | 8r+5=8r | | X+3=25(2w) | | x+20+3=180 | | -5-u=-u-5 | | 9x^2-4x-8=-6+10x^2 |