If it's not what You are looking for type in the equation solver your own equation and let us solve it.
3x^2+6x-69=0
a = 3; b = 6; c = -69;
Δ = b2-4ac
Δ = 62-4·3·(-69)
Δ = 864
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{864}=\sqrt{144*6}=\sqrt{144}*\sqrt{6}=12\sqrt{6}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-12\sqrt{6}}{2*3}=\frac{-6-12\sqrt{6}}{6} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+12\sqrt{6}}{2*3}=\frac{-6+12\sqrt{6}}{6} $
| 2=x-6,x= | | 26=9x+10 | | (2c+7)^2-35=0 | | –5−17z=–19z+19 | | 33=k+19,k= | | 15+10m=3+8m | | 45=5x^2-12 | | (2x+27)=(x+27) | | -19r=-6-20r | | -9=p-20,p= | | -245.7=4.2(7.2a-0.9) | | 5x/3-3x/2=1 | | x+45+38=180 | | Y=x^-8 | | 4x-1/5=30 | | 2(x−3)=−4+2x−3 | | 6x+9=2× | | 2(3x-15)=90 | | 19c=20c-9 | | 0.7x-1.2=3.0 | | 4/5=4(-2/5n+1) | | .5y-14=2y-2 | | 19c=20c−9 | | 15+5x=-5(x+1) | | 20g-15=12+17g | | 7x-11=6(x-8)+3x | | -2(4x+5)=-8x+17 | | 3(2x+1)+3(2x+1)+7=42-5x | | 4+2x+x=3(3+x) | | 2(x+4)=3(×+1) | | 3x-204=4x | | (2x+3)=(6x+1) |