X^2-8x^2+16x=0

Solution for X^2-8x^2+16x=0 equation:

X^2-8X^2+16X=0

We add all the numbers together, and all the variables

-7X^2+16X=0

a = -7; b = 16; c = 0;
Δ = b2-4ac
Δ = 162-4·(-7)·0
Δ = 256
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{256}=16$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(16)-16}{2*-7}=\frac{-32}{-14}
=2+2/7
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(16)+16}{2*-7}=\frac{0}{-14}
=0
$