(2x-16)(x-30)=0

Solution for (2x-16)(x-30)=0 equation:

(2x-16)(x-30)=0

We multiply parentheses ..

(+2x^2-60x-16x+480)=0

We get rid of parentheses

2x^2-60x-16x+480=0

We add all the numbers together, and all the variables

2x^2-76x+480=0

a = 2; b = -76; c = +480;
Δ = b2-4ac
Δ = -762-4·2·480
Δ = 1936
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1936}=44$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-76)-44}{2*2}=\frac{32}{4}
=8
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-76)+44}{2*2}=\frac{120}{4}
=30
$