If it's not what You are looking for type in the equation solver your own equation and let us solve it.
6y(3+4y)=38+4y
We move all terms to the left:
6y(3+4y)-(38+4y)=0
We add all the numbers together, and all the variables
6y(4y+3)-(4y+38)=0
We multiply parentheses
24y^2+18y-(4y+38)=0
We get rid of parentheses
24y^2+18y-4y-38=0
We add all the numbers together, and all the variables
24y^2+14y-38=0
a = 24; b = 14; c = -38;
Δ = b2-4ac
Δ = 142-4·24·(-38)
Δ = 3844
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{3844}=62$$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(14)-62}{2*24}=\frac{-76}{48} =-1+7/12 $$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(14)+62}{2*24}=\frac{48}{48} =1 $
| 6x3+4=22 | | 12a-12=108 | | 6x+9=2x+29 | | 31=4-5w | | 7y=-14+28 | | 6y(3-4y)=38-4y | | 5x-10=3x-23 | | y/6-1=11 | | 2(x+8)=4(6+x) | | 6y(3-4y)=24-4y | | −6p−4=−2(3p+2) | | -52=4(y-6) | | r-59/6=5 | | Y=20x-6x=8 | | -12=4(x+15) | | z2-25=0 | | -4=2p+20 | | 6w-5=-47 | | 6(x-4)=9(3x+2) | | o2-9=0 | | 3/x-6=-12 | | 8x4=8x+9 | | 3=2d-3 | | n/8+6=-8 | | 2(y+4)=5(y-3)-1 | | q2=25 | | 2x^2-4x+4-4+12=0 | | 8/n+6=-8 | | 3u+12=7u | | -10(s+1)=22 | | 1234567890x=1234567890x2 | | 21x+64=36x-26 |