-5x=(5/3)

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Solution for -5x=(5/3) equation:



-5x=(5/3)
We move all terms to the left:
-5x-((5/3))=0
We add all the numbers together, and all the variables
-5x-((+5/3))=0
We multiply all the terms by the denominator
-5x*3))-((+5=0
Wy multiply elements
-15x^2+5=0
a = -15; b = 0; c = +5;
Δ = b2-4ac
Δ = 02-4·(-15)·5
Δ = 300
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:
$\sqrt{\Delta}=\sqrt{300}=\sqrt{100*3}=\sqrt{100}*\sqrt{3}=10\sqrt{3}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-10\sqrt{3}}{2*-15}=\frac{0-10\sqrt{3}}{-30} =-\frac{10\sqrt{3}}{-30} =-\frac{\sqrt{3}}{-3} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+10\sqrt{3}}{2*-15}=\frac{0+10\sqrt{3}}{-30} =\frac{10\sqrt{3}}{-30} =\frac{\sqrt{3}}{-3} $

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