7x+6+82+8x2=180

Solution for 7x+6+82+8x2=180 equation:

7x+6+82+8x^2=180

We move all terms to the left:

7x+6+82+8x^2-(180)=0

We add all the numbers together, and all the variables

8x^2+7x-92=0

a = 8; b = 7; c = -92;
Δ = b2-4ac
Δ = 72-4·8·(-92)
Δ = 2993
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{-(7)-\sqrt{2993}}{2*8}=\frac{-7-\sqrt{2993}}{16}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+\sqrt{2993}}{2*8}=\frac{-7+\sqrt{2993}}{16}
$