(7-2x)*2x=12

Solution for (7-2x)*2x=12 equation:

(7-2x)*2x=12

We move all terms to the left:

(7-2x)*2x-(12)=0

We add all the numbers together, and all the variables

(-2x+7)*2x-12=0

We multiply parentheses

-4x^2+14x-12=0

a = -4; b = 14; c = -12;
Δ = b2-4ac
Δ = 142-4·(-4)·(-12)
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4}=2$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(14)-2}{2*-4}=\frac{-16}{-8}
=+2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(14)+2}{2*-4}=\frac{-12}{-8}
=1+1/2
$