-5x(x+6)=-5x+9

Solution for -5x(x+6)=-5x+9 equation:

-5x(x+6)=-5x+9

We move all terms to the left:

-5x(x+6)-(-5x+9)=0

We multiply parentheses

-5x^2-30x-(-5x+9)=0

We get rid of parentheses

-5x^2-30x+5x-9=0

We add all the numbers together, and all the variables

-5x^2-25x-9=0

a = -5; b = -25; c = -9;
Δ = b2-4ac
Δ = -252-4·(-5)·(-9)
Δ = 445
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{-(-25)-\sqrt{445}}{2*-5}=\frac{25-\sqrt{445}}{-10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-25)+\sqrt{445}}{2*-5}=\frac{25+\sqrt{445}}{-10}
$