x*(x+2)=29.25

Solution for x*(x+2)=29.25 equation:

x(x+2)=29.25

We move all terms to the left:

x(x+2)-(29.25)=0

We add all the numbers together, and all the variables

x(x+2)-29.25=0

We multiply parentheses

x^2+2x-29.25=0

a = 1; b = 2; c = -29.25;
Δ = b2-4ac
Δ = 22-4·1·(-29.25)
Δ = 121
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{121}=11$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-11}{2*1}=\frac{-13}{2}
=-6+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+11}{2*1}=\frac{9}{2}
=4+1/2
$