-3/8x-1/2x=7/5

Solution for -3/8x-1/2x=7/5 equation:

-3/8x-1/2x=7/5

We move all terms to the left:

-3/8x-1/2x-(7/5)=0


Domain of the equation: 8x!=0

x!=0/8

x!=0

x∈R



Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R


We add all the numbers together, and all the variables

-3/8x-1/2x-(+7/5)=0

We get rid of parentheses

-3/8x-1/2x-7/5=0

We calculate fractions


(-224x^2)/400x^2+(-150x)/400x^2+(-200x)/400x^2=0

We multiply all the terms by the denominator


(-224x^2)+(-150x)+(-200x)=0

We get rid of parentheses

-224x^2-150x-200x=0

We add all the numbers together, and all the variables

-224x^2-350x=0

a = -224; b = -350; c = 0;
Δ = b2-4ac
Δ = -3502-4·(-224)·0
Δ = 122500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{122500}=350$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-350)-350}{2*-224}=\frac{0}{-448}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-350)+350}{2*-224}=\frac{700}{-448}
=-1+9/16
$