Y=x(x+29)

Solution for Y=x(x+29) equation:

=Y(Y+29)

We move all terms to the left:

-(Y(Y+29))=0


We calculate terms in parentheses: -(Y(Y+29)), so:

Y(Y+29)

We multiply parentheses

Y^2+29Y

Back to the equation:

-(Y^2+29Y)


We get rid of parentheses

-Y^2-29Y=0

We add all the numbers together, and all the variables

-1Y^2-29Y=0

a = -1; b = -29; c = 0;
Δ = b2-4ac
Δ = -292-4·(-1)·0
Δ = 841
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{841}=29$
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-29)-29}{2*-1}=\frac{0}{-2}
=0
$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-29)+29}{2*-1}=\frac{58}{-2}
=-29
$