/2d+8d=-15

Solution for /2d+8d=-15 equation:

/2d+8d=-15

We move all terms to the left:

/2d+8d-(-15)=0


Domain of the equation: 2d!=0

d!=0/2

d!=0

d∈R


We add all the numbers together, and all the variables

8d+/2d+15=0

We multiply all the terms by the denominator


8d*2d+15*2d+=0

We add all the numbers together, and all the variables

8d*2d+15*2d=0

Wy multiply elements

16d^2+30d=0

a = 16; b = 30; c = 0;
Δ = b2-4ac
Δ = 302-4·16·0
Δ = 900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{900}=30$
$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(30)-30}{2*16}=\frac{-60}{32}
=-1+7/8
$
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+30}{2*16}=\frac{0}{32}
=0
$