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

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

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

We move all terms to the left:

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

We add all the numbers together, and all the variables

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

We multiply parentheses ..

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

We get rid of parentheses

5x^2-2x-30x+12=0

We add all the numbers together, and all the variables

5x^2-32x+12=0

a = 5; b = -32; c = +12;
Δ = b2-4ac
Δ = -322-4·5·12
Δ = 784
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{784}=28$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-32)-28}{2*5}=\frac{4}{10}
=2/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-32)+28}{2*5}=\frac{60}{10}
=6
$