68=4(5x2)

Solution for 68=4(5x2) equation:

68=4(5x^2)

We move all terms to the left:

68-(4(5x^2))=0

determiningTheFunctionDomain
-45x^2+68=0

a = -45; b = 0; c = +68;
Δ = b2-4ac
Δ = 02-4·(-45)·68
Δ = 12240
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:

$\sqrt{\Delta}=\sqrt{12240}=\sqrt{144*85}=\sqrt{144}*\sqrt{85}=12\sqrt{85}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12\sqrt{85}}{2*-45}=\frac{0-12\sqrt{85}}{-90}
=-\frac{12\sqrt{85}}{-90}
=-\frac{2\sqrt{85}}{-15}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12\sqrt{85}}{2*-45}=\frac{0+12\sqrt{85}}{-90}
=\frac{12\sqrt{85}}{-90}
=\frac{2\sqrt{85}}{-15}
$