8.2x(6x-3)=7(7x-1.2)

Solution for 8.2x(6x-3)=7(7x-1.2) equation:

8.2x(6x-3)=7(7x-1.2)

We move all terms to the left:

8.2x(6x-3)-(7(7x-1.2))=0

We multiply parentheses

48x^2-24x-(7(7x-1.2))=0


We calculate terms in parentheses: -(7(7x-1.2)), so:

7(7x-1.2)

We multiply parentheses

49x-8.4

Back to the equation:

-(49x-8.4)


We get rid of parentheses

48x^2-24x-49x+8.4=0

We add all the numbers together, and all the variables

48x^2-73x+8.4=0

a = 48; b = -73; c = +8.4;
Δ = b2-4ac
Δ = -732-4·48·8.4
Δ = 3716.2
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{-(-73)-\sqrt{3716.2}}{2*48}=\frac{73-\sqrt{3716.2}}{96}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-73)+\sqrt{3716.2}}{2*48}=\frac{73+\sqrt{3716.2}}{96}
$