16x^2-59x=20

Solution for 16x^2-59x=20 equation:

16x^2-59x=20

We move all terms to the left:

16x^2-59x-(20)=0

a = 16; b = -59; c = -20;
Δ = b2-4ac
Δ = -592-4·16·(-20)
Δ = 4761
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4761}=69$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-59)-69}{2*16}=\frac{-10}{32}
=-5/16
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-59)+69}{2*16}=\frac{128}{32}
=4
$