If it's not what You are looking for type in the equation solver your own equation and let us solve it.
2x(4x-3)=10x+8
We move all terms to the left:
2x(4x-3)-(10x+8)=0
We multiply parentheses
8x^2-6x-(10x+8)=0
We get rid of parentheses
8x^2-6x-10x-8=0
We add all the numbers together, and all the variables
8x^2-16x-8=0
a = 8; b = -16; c = -8;
Δ = b2-4ac
Δ = -162-4·8·(-8)
Δ = 512
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{512}=\sqrt{256*2}=\sqrt{256}*\sqrt{2}=16\sqrt{2}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-16)-16\sqrt{2}}{2*8}=\frac{16-16\sqrt{2}}{16} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-16)+16\sqrt{2}}{2*8}=\frac{16+16\sqrt{2}}{16} $
| 30x-12=28 | | -2-7x=40 | | a-8/8=-1 | | 12+3b=2+b | | a-88=-1 | | 33n+5+2n=5+n+6n | | -4(2n-7)=-2(6n+4) | | r/14-4=-3 | | X^2*24=11x | | 2x-7+2x-7+x=11 | | -122=-5r-2(6r-7) | | 2=16−n | | 7p+6=36−8p | | w-4/5=-1/6 | | 1/5(25-10b)+6=1/3(9b-15)-9 | | -3-28x=-23 | | 14-3x+5x-2=6–8x-34 | | 4x/3+20=32 | | 6+5-4x=x+3 | | -4(2x-3)+8+3x=50 | | 4x-9+10=25 | | (1.02)^x=1.5 | | -102=3(1+5b) | | 7(2-4(y-1))=7(2y+9) | | 18x+22=76 | | 83=3(1-3n)+8 | | 7(2-4(y-1)=7(2y+9) | | 51-y=279 | | 8+3(1-6a)=137 | | 5(k+2)=7+3k | | 3-8c=27 | | 8(2-4(y-1))=7(2y+9) |