3x-(8-4x)/6x-2(2+3x)=5/8

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Solution for 3x-(8-4x)/6x-2(2+3x)=5/8 equation: 



3x-(8-4x)/6x-2(2+3x)=5/8

We move all terms to the left:

3x-(8-4x)/6x-2(2+3x)-(5/8)=0



Domain of the equation: 6x!=0

x!=0/6

x!=0

x∈R



We add all the numbers together, and all the variables

3x-(-4x+8)/6x-2(3x+2)-(+5/8)=0

We multiply parentheses

3x-(-4x+8)/6x-6x-4-(+5/8)=0

We get rid of parentheses

3x-(-4x+8)/6x-6x-4-5/8=0

We calculate fractions


3x-6x+(32x-64)/48x+(-30x)/48x-4=0

We add all the numbers together, and all the variables

-3x+(32x-64)/48x+(-30x)/48x-4=0

We multiply all the terms by the denominator


-3x*48x+(32x-64)+(-30x)-4*48x=0

Wy multiply elements

-144x^2+(32x-64)+(-30x)-192x=0

We get rid of parentheses

-144x^2+32x-30x-192x-64=0

We add all the numbers together, and all the variables

-144x^2-190x-64=0

a = -144; b = -190; c = -64;
Δ = b2-4ac
Δ = -1902-4·(-144)·(-64)
Δ = -764
Delta is less than zero, so there is no solution for the equation

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