14b2+15b=9b2

Solution for 14b2+15b=9b2 equation:

14b^2+15b=9b^2

We move all terms to the left:

14b^2+15b-(9b^2)=0

determiningTheFunctionDomain
14b^2-9b^2+15b=0

We add all the numbers together, and all the variables

5b^2+15b=0

a = 5; b = 15; c = 0;
Δ = b2-4ac
Δ = 152-4·5·0
Δ = 225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{225}=15$
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(15)-15}{2*5}=\frac{-30}{10}
=-3
$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(15)+15}{2*5}=\frac{0}{10}
=0
$