X(8x+3)=3x+128

Solution for X(8x+3)=3x+128 equation:

X(8X+3)=3X+128

We move all terms to the left:

X(8X+3)-(3X+128)=0

We multiply parentheses

8X^2+3X-(3X+128)=0

We get rid of parentheses

8X^2+3X-3X-128=0

We add all the numbers together, and all the variables

8X^2-128=0

a = 8; b = 0; c = -128;
Δ = b2-4ac
Δ = 02-4·8·(-128)
Δ = 4096
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4096}=64$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-64}{2*8}=\frac{-64}{16}
=-4
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+64}{2*8}=\frac{64}{16}
=4
$