-1/2x-14/5x=33/8

Solution for -1/2x-14/5x=33/8 equation:

-1/2x-14/5x=33/8

We move all terms to the left:

-1/2x-14/5x-(33/8)=0


Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R



Domain of the equation: 5x!=0

x!=0/5

x!=0

x∈R


We add all the numbers together, and all the variables

-1/2x-14/5x-(+33/8)=0

We get rid of parentheses

-1/2x-14/5x-33/8=0

We calculate fractions


(-1650x^2)/640x^2+(-320x)/640x^2+(-1792x)/640x^2=0

We multiply all the terms by the denominator


(-1650x^2)+(-320x)+(-1792x)=0

We get rid of parentheses

-1650x^2-320x-1792x=0

We add all the numbers together, and all the variables

-1650x^2-2112x=0

a = -1650; b = -2112; c = 0;
Δ = b2-4ac
Δ = -21122-4·(-1650)·0
Δ = 4460544
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4460544}=2112$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2112)-2112}{2*-1650}=\frac{0}{-3300}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2112)+2112}{2*-1650}=\frac{4224}{-3300}
=-1+7/25
$