5/8x+7/8x+15=1/4x-6

Solution for 5/8x+7/8x+15=1/4x-6 equation:

5/8x+7/8x+15=1/4x-6

We move all terms to the left:

5/8x+7/8x+15-(1/4x-6)=0


Domain of the equation: 8x!=0

x!=0/8

x!=0

x∈R



Domain of the equation: 4x-6)!=0

x∈R


We get rid of parentheses

5/8x+7/8x-1/4x+6+15=0

We calculate fractions


(28x+5)/32x^2+(-8x)/32x^2+6+15=0

We add all the numbers together, and all the variables

(28x+5)/32x^2+(-8x)/32x^2+21=0

We multiply all the terms by the denominator


(28x+5)+(-8x)+21*32x^2=0

Wy multiply elements

672x^2+(28x+5)+(-8x)=0

We get rid of parentheses

672x^2+28x-8x+5=0

We add all the numbers together, and all the variables

672x^2+20x+5=0

a = 672; b = 20; c = +5;
Δ = b2-4ac
Δ = 202-4·672·5
Δ = -13040
Delta is less than zero, so there is no solution for the equation