(.25x)(.05x)+2.5=8.60

Solution for (.25x)(.05x)+2.5=8.60 equation:

(.25x)(.05x)+2.5=8.60

We move all terms to the left:

(.25x)(.05x)+2.5-(8.60)=0

We add all the numbers together, and all the variables

(+.25x)(+.05x)+2.5-(8.6)=0

We add all the numbers together, and all the variables

(+.25x)(+.05x)-6.1=0

We multiply parentheses ..

(+x^2)-6.1=0

We get rid of parentheses

x^2-6.1=0

a = 1; b = 0; c = -6.1;
Δ = b2-4ac
Δ = 02-4·1·(-6.1)
Δ = 24.4
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{-(0)-\sqrt{24.4}}{2*1}=\frac{0-\sqrt{24.4}}{2}
=-\frac{\sqrt{}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{24.4}}{2*1}=\frac{0+\sqrt{24.4}}{2}
=\frac{\sqrt{}}{2}
$