If it's not what You are looking for type in the equation solver your own equation and let us solve it.
-6x^2+21x=17
We move all terms to the left:
-6x^2+21x-(17)=0
a = -6; b = 21; c = -17;
Δ = b2-4ac
Δ = 212-4·(-6)·(-17)
Δ = 33
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(21)-\sqrt{33}}{2*-6}=\frac{-21-\sqrt{33}}{-12} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(21)+\sqrt{33}}{2*-6}=\frac{-21+\sqrt{33}}{-12} $
| 57-(2x+13)=2(x+7)+x | | -3x+-15=-3x+-15 | | 9d+1=2d+29 | | 10x+1=3x+71 | | 4*2x−3=13x+8 | | 9q+6=3q+18 | | 0=-10t+10t | | 4z-7=5z-14 | | 0=-6+6w | | 9c-4=5c+28 | | 9u+8=4u+53 | | 4.2q-2.9-4.6q=1.4q-1.7 | | x+13/9=27/8 | | 5f=-2f+7 | | 3d+7=2d+10 | | -9(4y-8)=2(y+4) | | -8x-3=-3x-18 | | -9(4y-8)=2 | | 273x-7=96x-1 | | 10z-43=7 | | (9x)=0 | | 31.5=9s-9 | | 8*80=x | | 31.5=9s−9 | | -5y+3(y+7)=7 | | 9*80=x | | 8992=9v-8 | | 11x+x=44 | | 5*80=x | | 4(x-1)^2=12 | | 4c-12=36 | | 12=x.3 |