x(8x+2)=300

Solution for x(8x+2)=300 equation:

x(8x+2)=300

We move all terms to the left:

x(8x+2)-(300)=0

We multiply parentheses

8x^2+2x-300=0

a = 8; b = 2; c = -300;
Δ = b2-4ac
Δ = 22-4·8·(-300)
Δ = 9604
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9604}=98$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-98}{2*8}=\frac{-100}{16}
=-6+1/4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+98}{2*8}=\frac{96}{16}
=6
$