7x(x-7x)=-48

Solution for 7x(x-7x)=-48 equation:

7x(x-7x)=-48

We move all terms to the left:

7x(x-7x)-(-48)=0

We add all the numbers together, and all the variables

7x(-6x)-(-48)=0

We add all the numbers together, and all the variables

7x(-6x)+48=0

We multiply parentheses

-42x^2+48=0

a = -42; b = 0; c = +48;
Δ = b2-4ac
Δ = 02-4·(-42)·48
Δ = 8064
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{8064}=\sqrt{576*14}=\sqrt{576}*\sqrt{14}=24\sqrt{14}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-24\sqrt{14}}{2*-42}=\frac{0-24\sqrt{14}}{-84}
=-\frac{24\sqrt{14}}{-84}
=-\frac{2\sqrt{14}}{-7}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+24\sqrt{14}}{2*-42}=\frac{0+24\sqrt{14}}{-84}
=\frac{24\sqrt{14}}{-84}
=\frac{2\sqrt{14}}{-7}
$