(32.8-x)(13.2x)=0

Solution for (32.8-x)(13.2x)=0 equation:

(32.8-x)(13.2x)=0

We add all the numbers together, and all the variables

(-1x+32.8)(+13.2x)=0

We multiply parentheses ..

(-13x^2+426.4x)=0

We get rid of parentheses

-13x^2+426.4x=0

a = -13; b = 426.4; c = 0;
Δ = b2-4ac
Δ = 426.42-4·(-13)·0
Δ = 181816.96
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{-(426.4)-\sqrt{181816.96}}{2*-13}=\frac{-426.4-\sqrt{181816.96}}{-26}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(426.4)+\sqrt{181816.96}}{2*-13}=\frac{-426.4+\sqrt{181816.96}}{-26}
$