0.05x(x+2)+0.12(x+6)=2.52

Solution for 0.05x(x+2)+0.12(x+6)=2.52 equation:

0.05x(x+2)+0.12(x+6)=2.52

We move all terms to the left:

0.05x(x+2)+0.12(x+6)-(2.52)=0

We add all the numbers together, and all the variables

0.05x(x+2)+0.12(x+6)-2.52=0

We multiply parentheses

0x^2+0x+0.12x+0.72-2.52=0

We add all the numbers together, and all the variables

x^2+1.12x-1.8=0

a = 1; b = 1.12; c = -1.8;
Δ = b2-4ac
Δ = 1.122-4·1·(-1.8)
Δ = 8.4544
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{-(1.12)-\sqrt{8.4544}}{2*1}=\frac{-1.12-\sqrt{8.4544}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1.12)+\sqrt{8.4544}}{2*1}=\frac{-1.12+\sqrt{8.4544}}{2}
$