X=14y2-72y+95

Solution for X=14y2-72y+95 equation:

X=14X^2-72X+95

We move all terms to the left:

X-(14X^2-72X+95)=0

We get rid of parentheses

-14X^2+X+72X-95=0

We add all the numbers together, and all the variables

-14X^2+73X-95=0

a = -14; b = 73; c = -95;
Δ = b2-4ac
Δ = 732-4·(-14)·(-95)
Δ = 9
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9}=3$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(73)-3}{2*-14}=\frac{-76}{-28}
=2+5/7
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(73)+3}{2*-14}=\frac{-70}{-28}
=2+1/2
$