0.75p2-1.75+0.5=0

Solution for 0.75p2-1.75+0.5=0 equation:

0.75p^2-1.75+0.5=0

We add all the numbers together, and all the variables

0.75p^2-1.25=0

a = 0.75; b = 0; c = -1.25;
Δ = b2-4ac
Δ = 02-4·0.75·(-1.25)
Δ = 3.75
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{3.75}}{2*0.75}=\frac{0-\sqrt{3.75}}{1.5}
=-\frac{\sqrt{}}{1.5}
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{3.75}}{2*0.75}=\frac{0+\sqrt{3.75}}{1.5}
=\frac{\sqrt{}}{1.5}
$