15x+17x-3x(x=3)

Solution for 15x+17x-3x(x=3) equation:

15x+17x-3x(x=3)

We move all terms to the left:

15x+17x-3x(x-(3))=0

We add all the numbers together, and all the variables

32x-3x(x-3)=0

We multiply parentheses

-3x^2+32x+9x=0

We add all the numbers together, and all the variables

-3x^2+41x=0

a = -3; b = 41; c = 0;
Δ = b2-4ac
Δ = 412-4·(-3)·0
Δ = 1681
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1681}=41$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(41)-41}{2*-3}=\frac{-82}{-6}
=13+2/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(41)+41}{2*-3}=\frac{0}{-6}
=0
$