If it's not what You are looking for type in the equation solver your own equation and let us solve it.
-3s(5s-3)-9=-2(9s+6)-2
We move all terms to the left:
-3s(5s-3)-9-(-2(9s+6)-2)=0
We multiply parentheses
-15s^2+9s-(-2(9s+6)-2)-9=0
We calculate terms in parentheses: -(-2(9s+6)-2), so:We get rid of parentheses
-2(9s+6)-2
We multiply parentheses
-18s-12-2
We add all the numbers together, and all the variables
-18s-14
Back to the equation:
-(-18s-14)
-15s^2+9s+18s+14-9=0
We add all the numbers together, and all the variables
-15s^2+27s+5=0
a = -15; b = 27; c = +5;
Δ = b2-4ac
Δ = 272-4·(-15)·5
Δ = 1029
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{1029}=\sqrt{49*21}=\sqrt{49}*\sqrt{21}=7\sqrt{21}$$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(27)-7\sqrt{21}}{2*-15}=\frac{-27-7\sqrt{21}}{-30} $$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(27)+7\sqrt{21}}{2*-15}=\frac{-27+7\sqrt{21}}{-30} $
| 4x=x+8=27 | | 4x=x+8=37 | | 8(45m)=-4(6+8m) | | 3+2x=2(-x+8)-25 | | 19-2r=1 | | 10=3n=5 | | 6y=2(3y+1) | | 7(k+4)=-1+8(k+2 | | -8x+5=9 | | 9(y-3)=5y-35 | | 96=6+g | | 54=36-9x | | 8=-4(x+5) | | 13n-11n=12 | | -5y+3=-3(y+5) | | 4(2x+5)=-6(3x+1) | | x=(9x-34)(20-x) | | -10x+3=11 | | -1/3a-7=-3 | | -25=v-16 | | 2x+2=26-4x | | 6(0.5y-5)=-18 | | 15/33=j | | 19x+5.50=11x+6.75 | | -1+4x=10 | | 18k=20k+18 | | k=4.2-5 | | 0.17x+0.43=0.25x+0.05 | | 1/4(x-12)=2 | | (n-2)180÷n=1440÷n | | -64=-4+3v | | -3(m-1)=6m+21 |