If it's not what You are looking for type in the equation solver your own equation and let us solve it.
(6x^2-9x-24)=2/3
We move all terms to the left:
(6x^2-9x-24)-(2/3)=0
We add all the numbers together, and all the variables
(6x^2-9x-24)-(+2/3)=0
We get rid of parentheses
6x^2-9x-24-2/3=0
We multiply all the terms by the denominator
6x^2*3-9x*3-2-24*3=0
We add all the numbers together, and all the variables
6x^2*3-9x*3-74=0
Wy multiply elements
18x^2-27x-74=0
a = 18; b = -27; c = -74;
Δ = b2-4ac
Δ = -272-4·18·(-74)
Δ = 6057
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{6057}=\sqrt{9*673}=\sqrt{9}*\sqrt{673}=3\sqrt{673}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-27)-3\sqrt{673}}{2*18}=\frac{27-3\sqrt{673}}{36} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-27)+3\sqrt{673}}{2*18}=\frac{27+3\sqrt{673}}{36} $
| 6(v+5)-2v=78-8v | | 2∣x−4∣=5 | | 12y-18=6(2y-3) | | 77+3x+15+13x-8=180 | | 10p-15=2p+9 | | 5(y/4)=6y | | 14u-44=24u+16 | | .5(x+4)=x/3 | | 56+13x+21x+8=180 | | 5.4*x=7 | | 6x-10=12x+10 | | 5x-13=48+5x | | 3x-14=2x+12 | | 23.00x+25.00=21.25x+40.00 | | -2+n=-4(n+5)-2 | | 10n+15=18n-13 | | 26+8=y+10 | | 11=2n-5 | | x2+18=15 | | 16x+3+11x+10+33=180 | | (18/12*t-7)2= | | 4n+15=10n-13 | | 5x+4+3+4=8+4x | | 36+y=90 | | 11/2x2/7=4 | | 3,000+x=50 | | 4b-50+31=b+50 | | 27-17=5(x-6) | | 72-7h=2h | | 23.00+25.00x=21.25x+40.00 | | 10x+12+5x+8+64=180 | | 4m-3/4=-9-4m/8 |