-5x+17=-5x(x-6)

Solution for -5x+17=-5x(x-6) equation:

-5x+17=-5x(x-6)

We move all terms to the left:

-5x+17-(-5x(x-6))=0


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

-5x(x-6)

We multiply parentheses

-5x^2+30x

Back to the equation:

-(-5x^2+30x)


We get rid of parentheses

5x^2-30x-5x+17=0

We add all the numbers together, and all the variables

5x^2-35x+17=0

a = 5; b = -35; c = +17;
Δ = b2-4ac
Δ = -352-4·5·17
Δ = 885
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{-(-35)-\sqrt{885}}{2*5}=\frac{35-\sqrt{885}}{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-35)+\sqrt{885}}{2*5}=\frac{35+\sqrt{885}}{10}
$