10.75+.25a(2)=25

Solution for 10.75+.25a(2)=25 equation:

10.75+.25a(2)=25

We move all terms to the left:

10.75+.25a(2)-(25)=0

We add all the numbers together, and all the variables

.25a^2-14.25=0

a = .25; b = 0; c = -14.25;
Δ = b2-4ac
Δ = 02-4·.25·(-14.25)
Δ = 14.25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{14.25}}{2*.25}=\frac{0-\sqrt{14.25}}{0.5}
=-\frac{\sqrt{}}{0.5}
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{14.25}}{2*.25}=\frac{0+\sqrt{14.25}}{0.5}
=\frac{\sqrt{}}{0.5}
$