14=(155/360)*(2*3.14159265359*x)

Solution for 14=(155/360)*(2*3.14159265359*x) equation:

14=(155/360)(2*3.14159265359x)

We move all terms to the left:

14-((155/360)(2*3.14159265359x))=0


Domain of the equation: 360)(2*3.14159265359x))!=0

x∈R


We add all the numbers together, and all the variables

-((+155/360)(+2*3.14159265359x))+14=0

We multiply parentheses ..

-((+930x^2))+14=0


We calculate terms in parentheses: -((+930x^2)), so:

(+930x^2)

We get rid of parentheses

930x^2

Back to the equation:

-(930x^2)


a = -930; b = 0; c = +14;
Δ = b2-4ac
Δ = 02-4·(-930)·14
Δ = 52080
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:

$\sqrt{\Delta}=\sqrt{52080}=\sqrt{16*3255}=\sqrt{16}*\sqrt{3255}=4\sqrt{3255}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{3255}}{2*-930}=\frac{0-4\sqrt{3255}}{-1860}
=-\frac{4\sqrt{3255}}{-1860}
=-\frac{\sqrt{3255}}{-465}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{3255}}{2*-930}=\frac{0+4\sqrt{3255}}{-1860}
=\frac{4\sqrt{3255}}{-1860}
=\frac{\sqrt{3255}}{-465}
$