-4c=(4/3)

Solution for -4c=(4/3) equation:

-4c=(4/3)

We move all terms to the left:

-4c-((4/3))=0

We add all the numbers together, and all the variables

-4c-((+4/3))=0

We multiply all the terms by the denominator


-4c*3))-((+4=0

Wy multiply elements

-12c^2+4=0

a = -12; b = 0; c = +4;
Δ = b2-4ac
Δ = 02-4·(-12)·4
Δ = 192
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{192}=\sqrt{64*3}=\sqrt{64}*\sqrt{3}=8\sqrt{3}$
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{3}}{2*-12}=\frac{0-8\sqrt{3}}{-24}
=-\frac{8\sqrt{3}}{-24}
=-\frac{\sqrt{3}}{-3}
$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{3}}{2*-12}=\frac{0+8\sqrt{3}}{-24}
=\frac{8\sqrt{3}}{-24}
=\frac{\sqrt{3}}{-3}
$