Y=29x^2-59x

Solution for Y=29x^2-59x equation:

=29Y^2-59Y

We move all terms to the left:

-(29Y^2-59Y)=0

We get rid of parentheses

-29Y^2+59Y=0

a = -29; b = 59; c = 0;
Δ = b2-4ac
Δ = 592-4·(-29)·0
Δ = 3481
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3481}=59$
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(59)-59}{2*-29}=\frac{-118}{-58}
=2+1/29
$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(59)+59}{2*-29}=\frac{0}{-58}
=0
$