14+5=5x(3x+15)+5

Solution for 14+5=5x(3x+15)+5 equation:

14+5=5x(3x+15)+5

We move all terms to the left:

14+5-(5x(3x+15)+5)=0

We add all the numbers together, and all the variables

-(5x(3x+15)+5)+19=0


We calculate terms in parentheses: -(5x(3x+15)+5), so:

5x(3x+15)+5

We multiply parentheses

15x^2+75x+5

Back to the equation:

-(15x^2+75x+5)


We get rid of parentheses

-15x^2-75x-5+19=0

We add all the numbers together, and all the variables

-15x^2-75x+14=0

a = -15; b = -75; c = +14;
Δ = b2-4ac
Δ = -752-4·(-15)·14
Δ = 6465
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-75)-\sqrt{6465}}{2*-15}=\frac{75-\sqrt{6465}}{-30}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-75)+\sqrt{6465}}{2*-15}=\frac{75+\sqrt{6465}}{-30}
$