X(4-67y=16)

Solution for X(4-67y=16) equation:

X(4-67X=16)

We move all terms to the left:

X(4-67X-(16))=0

We add all the numbers together, and all the variables

X(-67X-12)=0

We multiply parentheses

-67X^2-12X=0

a = -67; b = -12; c = 0;
Δ = b2-4ac
Δ = -122-4·(-67)·0
Δ = 144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{144}=12$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-12)-12}{2*-67}=\frac{0}{-134}
=0
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-12)+12}{2*-67}=\frac{24}{-134}
=-12/67
$