5*(2x-5)*(3x-6)=

Solution for 5*(2x-5)*(3x-6)= equation:

5(2x-5)(3x-6)=

We move all terms to the left:

5(2x-5)(3x-6)-()=0

We add all the numbers together, and all the variables

5(2x-5)(3x-6)=0

We multiply parentheses ..

5(+6x^2-12x-15x+30)=0

We multiply parentheses

30x^2-60x-75x+150=0

We add all the numbers together, and all the variables

30x^2-135x+150=0

a = 30; b = -135; c = +150;
Δ = b2-4ac
Δ = -1352-4·30·150
Δ = 225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{225}=15$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-135)-15}{2*30}=\frac{120}{60}
=2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-135)+15}{2*30}=\frac{150}{60}
=2+1/2
$