196=4x(x-7)

Solution for 196=4x(x-7) equation:

196=4x(x-7)

We move all terms to the left:

196-(4x(x-7))=0


We calculate terms in parentheses: -(4x(x-7)), so:

4x(x-7)

We multiply parentheses

4x^2-28x

Back to the equation:

-(4x^2-28x)


We get rid of parentheses

-4x^2+28x+196=0

a = -4; b = 28; c = +196;
Δ = b2-4ac
Δ = 282-4·(-4)·196
Δ = 3920
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:

$\sqrt{\Delta}=\sqrt{3920}=\sqrt{784*5}=\sqrt{784}*\sqrt{5}=28\sqrt{5}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(28)-28\sqrt{5}}{2*-4}=\frac{-28-28\sqrt{5}}{-8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(28)+28\sqrt{5}}{2*-4}=\frac{-28+28\sqrt{5}}{-8}
$