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

75x^2-375x

Back to the equation:

-(75x^2-375x)


We get rid of parentheses

-75x^2+375x+19=0

a = -75; b = 375; c = +19;
Δ = b2-4ac
Δ = 3752-4·(-75)·19
Δ = 146325
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{146325}=\sqrt{25*5853}=\sqrt{25}*\sqrt{5853}=5\sqrt{5853}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(375)-5\sqrt{5853}}{2*-75}=\frac{-375-5\sqrt{5853}}{-150}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(375)+5\sqrt{5853}}{2*-75}=\frac{-375+5\sqrt{5853}}{-150}
$