(X)(x+6)=129.0625

Solution for (X)(x+6)=129.0625 equation:

(X)(X+6)=129.0625

We move all terms to the left:

(X)(X+6)-(129.0625)=0

We add all the numbers together, and all the variables

X(X+6)-129.0625=0

We multiply parentheses

X^2+6X-129.0625=0

a = 1; b = 6; c = -129.0625;
Δ = b2-4ac
Δ = 62-4·1·(-129.0625)
Δ = 552.25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-\sqrt{552.25}}{2*1}=\frac{-6-\sqrt{552.25}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+\sqrt{552.25}}{2*1}=\frac{-6+\sqrt{552.25}}{2}
$