7-7x(x-7)=-4+5x

Solution for 7-7x(x-7)=-4+5x equation:

7-7x(x-7)=-4+5x

We move all terms to the left:

7-7x(x-7)-(-4+5x)=0

We add all the numbers together, and all the variables

-7x(x-7)-(5x-4)+7=0

We multiply parentheses

-7x^2+49x-(5x-4)+7=0

We get rid of parentheses

-7x^2+49x-5x+4+7=0

We add all the numbers together, and all the variables

-7x^2+44x+11=0

a = -7; b = 44; c = +11;
Δ = b2-4ac
Δ = 442-4·(-7)·11
Δ = 2244
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:

$\sqrt{\Delta}=\sqrt{2244}=\sqrt{4*561}=\sqrt{4}*\sqrt{561}=2\sqrt{561}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(44)-2\sqrt{561}}{2*-7}=\frac{-44-2\sqrt{561}}{-14}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(44)+2\sqrt{561}}{2*-7}=\frac{-44+2\sqrt{561}}{-14}
$