3a^2+5a=15a^2

Solution for 3a^2+5a=15a^2 equation:

3a^2+5a=15a^2

We move all terms to the left:

3a^2+5a-(15a^2)=0

determiningTheFunctionDomain
3a^2-15a^2+5a=0

We add all the numbers together, and all the variables

-12a^2+5a=0

a = -12; b = 5; c = 0;
Δ = b2-4ac
Δ = 52-4·(-12)·0
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-5}{2*-12}=\frac{-10}{-24}
=5/12
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+5}{2*-12}=\frac{0}{-24}
=0
$