-3/8x-9/40x+1/5=-64

Solution for -3/8x-9/40x+1/5=-64 equation:

-3/8x-9/40x+1/5=-64

We move all terms to the left:

-3/8x-9/40x+1/5-(-64)=0


Domain of the equation: 8x!=0

x!=0/8

x!=0

x∈R



Domain of the equation: 40x!=0

x!=0/40

x!=0

x∈R


We add all the numbers together, and all the variables

-3/8x-9/40x+64+1/5=0

We calculate fractions


1280x^2/8000x^2+(-3000x)/8000x^2+(-1800x)/8000x^2+64=0

We multiply all the terms by the denominator


1280x^2+(-3000x)+(-1800x)+64*8000x^2=0

Wy multiply elements

1280x^2+512000x^2+(-3000x)+(-1800x)=0

We get rid of parentheses

1280x^2+512000x^2-3000x-1800x=0

We add all the numbers together, and all the variables

513280x^2-4800x=0

a = 513280; b = -4800; c = 0;
Δ = b2-4ac
Δ = -48002-4·513280·0
Δ = 23040000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{23040000}=4800$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-4800)-4800}{2*513280}=\frac{0}{1026560}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4800)+4800}{2*513280}=\frac{9600}{1026560}
=15/1604
$