-x-22/3x-15=0

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Solution for -x-22/3x-15=0 equation: 



-x-22/3x-15=0



Domain of the equation: 3x!=0

x!=0/3

x!=0

x∈R



We add all the numbers together, and all the variables

-1x-22/3x-15=0

We multiply all the terms by the denominator


-1x*3x-15*3x-22=0

Wy multiply elements

-3x^2-45x-22=0

a = -3; b = -45; c = -22;
Δ = b2-4ac
Δ = -452-4·(-3)·(-22)
Δ = 1761
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-45)-\sqrt{1761}}{2*-3}=\frac{45-\sqrt{1761}}{-6}
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-45)+\sqrt{1761}}{2*-3}=\frac{45+\sqrt{1761}}{-6}
$

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