14+5=-5x-6x(-3x+15)+5

Solution for 14+5=-5x-6x(-3x+15)+5 equation:

14+5=-5x-6x(-3x+15)+5

We move all terms to the left:

14+5-(-5x-6x(-3x+15)+5)=0

We add all the numbers together, and all the variables

-(-5x-6x(-3x+15)+5)+19=0


We calculate terms in parentheses: -(-5x-6x(-3x+15)+5), so:

-5x-6x(-3x+15)+5

We multiply parentheses

18x^2-5x-90x+5

We add all the numbers together, and all the variables

18x^2-95x+5

Back to the equation:

-(18x^2-95x+5)


We get rid of parentheses

-18x^2+95x-5+19=0

We add all the numbers together, and all the variables

-18x^2+95x+14=0

a = -18; b = 95; c = +14;
Δ = b2-4ac
Δ = 952-4·(-18)·14
Δ = 10033
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{-(95)-\sqrt{10033}}{2*-18}=\frac{-95-\sqrt{10033}}{-36}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(95)+\sqrt{10033}}{2*-18}=\frac{-95+\sqrt{10033}}{-36}
$