(3/5)X(5x+15)=-12

Solution for (3/5)X(5x+15)=-12 equation:

(3/5)X(5X+15)=-12

We move all terms to the left:

(3/5)X(5X+15)-(-12)=0


Domain of the equation: 5)X(5X+15)!=0

X∈R


We add all the numbers together, and all the variables

(+3/5)X(5X+15)-(-12)=0

We add all the numbers together, and all the variables

(+3/5)X(5X+15)+12=0

We multiply all the terms by the denominator


(+3+12*5)X(5X+15)=0

We add all the numbers together, and all the variables

63X(5X+15)=0

We multiply parentheses

315X^2+945X=0

a = 315; b = 945; c = 0;
Δ = b2-4ac
Δ = 9452-4·315·0
Δ = 893025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{893025}=945$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(945)-945}{2*315}=\frac{-1890}{630}
=-3
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(945)+945}{2*315}=\frac{0}{630}
=0
$