(5x-6)(-2x+6)=0

Solution for (5x-6)(-2x+6)=0 equation:

(5x-6)(-2x+6)=0

We multiply parentheses ..

(-10x^2+30x+12x-36)=0

We get rid of parentheses

-10x^2+30x+12x-36=0

We add all the numbers together, and all the variables

-10x^2+42x-36=0

a = -10; b = 42; c = -36;
Δ = b2-4ac
Δ = 422-4·(-10)·(-36)
Δ = 324
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{324}=18$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(42)-18}{2*-10}=\frac{-60}{-20}
=+3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(42)+18}{2*-10}=\frac{-24}{-20}
=1+1/5
$