If it's not what You are looking for type in the equation solver your own equation and let us solve it.
6x^2+14x+8=24
We move all terms to the left:
6x^2+14x+8-(24)=0
We add all the numbers together, and all the variables
6x^2+14x-16=0
a = 6; b = 14; c = -16;
Δ = b2-4ac
Δ = 142-4·6·(-16)
Δ = 580
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{580}=\sqrt{4*145}=\sqrt{4}*\sqrt{145}=2\sqrt{145}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(14)-2\sqrt{145}}{2*6}=\frac{-14-2\sqrt{145}}{12} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(14)+2\sqrt{145}}{2*6}=\frac{-14+2\sqrt{145}}{12} $
| 5m^2+4m=0 | | 36-x=12 | | 45=5w+4w | | (1/5)x-9=3 | | 96=x16 | | 3+-6x-3=4x-3+9 | | z^2+12z+13=0 | | W/2=18/w | | F(x)=2x^2-32/(x^2-9) | | 4n^2=5+8n | | 3(x+4)+x=180 | | 20/3*f-5=5 | | 5x/3-1=x-5/5 | | 62/3*f-5=5 | | 0=15x^2+88x+121 | | 29+x+x=-42.6 | | z^2+16z+61=0 | | 4(x-5)+13=7x-(3x+4)-3 | | f(0)=2*1.5^0=2 | | 0=-16t+48t+4.5 | | 70-(3x+15)=3(x+9)+x | | .5j-1.2=1.2 | | 3=p+8/4 | | 3v^2-128=8v | | 10x-4+17x=7+15x+13 | | 20x-7-18x+4=16x-6-14x+13 | | 24k^2-40k=0 | | -2t^2+5t-8=-t-5 | | x/6-x/7=x/42 | | 4(8x+2)^2+320=0 | | 20x-7-18x+4=16-6-14x+13 | | x/6-x/7=x42 |