X^2+36x+64X=0

Solution for X^2+36x+64X=0 equation:

X^2+36X+64X=0

We add all the numbers together, and all the variables

X^2+100X=0

a = 1; b = 100; c = 0;
Δ = b2-4ac
Δ = 1002-4·1·0
Δ = 10000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{10000}=100$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(100)-100}{2*1}=\frac{-200}{2}
=-100
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(100)+100}{2*1}=\frac{0}{2}
=0
$