86.5+-1q+-1.5q2=0

Solution for 86.5+-1q+-1.5q2=0 equation:

86.5+-1q+-1.5q^2=0

We add all the numbers together, and all the variables

-1.5q^2-1q=0

a = -1.5; b = -1; c = 0;
Δ = b2-4ac
Δ = -12-4·(-1.5)·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$q_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$q_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$q_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-1}{2*-1.5}=\frac{0}{-3}
=0
$
$q_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+1}{2*-1.5}=\frac{2}{-3}
=-2/3
$