16x^2+75x+63=655

Solution for 16x^2+75x+63=655 equation:

16x^2+75x+63=655

We move all terms to the left:

16x^2+75x+63-(655)=0

We add all the numbers together, and all the variables

16x^2+75x-592=0

a = 16; b = 75; c = -592;
Δ = b2-4ac
Δ = 752-4·16·(-592)
Δ = 43513
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{-(75)-\sqrt{43513}}{2*16}=\frac{-75-\sqrt{43513}}{32}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(75)+\sqrt{43513}}{2*16}=\frac{-75+\sqrt{43513}}{32}
$