q+(14/q)=-15

Solution for q+(14/q)=-15 equation:

q+(14/q)=-15

We move all terms to the left:

q+(14/q)-(-15)=0


Domain of the equation: q)!=0

q!=0/1

q!=0

q∈R


We add all the numbers together, and all the variables

q+(+14/q)-(-15)=0

We add all the numbers together, and all the variables

q+(+14/q)+15=0

We get rid of parentheses

q+14/q+15=0

We multiply all the terms by the denominator


q*q+15*q+14=0

We add all the numbers together, and all the variables

15q+q*q+14=0

Wy multiply elements

q^2+15q+14=0

a = 1; b = 15; c = +14;
Δ = b2-4ac
Δ = 152-4·1·14
Δ = 169
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$q_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$q_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{169}=13$
$q_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(15)-13}{2*1}=\frac{-28}{2}
=-14
$
$q_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(15)+13}{2*1}=\frac{-2}{2}
=-1
$