x2-20x+64x=0

Solution for x2-20x+64x=0 equation:

x2-20x+64x=0

We add all the numbers together, and all the variables

x^2+44x=0

a = 1; b = 44; c = 0;
Δ = b2-4ac
Δ = 442-4·1·0
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{-(44)-44}{2*1}=\frac{-88}{2}
=-44
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(44)+44}{2*1}=\frac{0}{2}
=0
$