8(2.3+x)x=7

Solution for 8(2.3+x)x=7 equation:

8(2.3+x)x=7

We move all terms to the left:

8(2.3+x)x-(7)=0

We add all the numbers together, and all the variables

8(x+2.3)x-7=0

We multiply parentheses

8x^2+18.4x-7=0

a = 8; b = 18.4; c = -7;
Δ = b2-4ac
Δ = 18.42-4·8·(-7)
Δ = 562.56
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(18.4)-\sqrt{562.56}}{2*8}=\frac{-18.4-\sqrt{562.56}}{16}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(18.4)+\sqrt{562.56}}{2*8}=\frac{-18.4+\sqrt{562.56}}{16}
$