5/8x+1/12x=51/24

Solution for 5/8x+1/12x=51/24 equation:

5/8x+1/12x=51/24

We move all terms to the left:

5/8x+1/12x-(51/24)=0


Domain of the equation: 8x!=0

x!=0/8

x!=0

x∈R



Domain of the equation: 12x!=0

x!=0/12

x!=0

x∈R


We add all the numbers together, and all the variables

5/8x+1/12x-(+51/24)=0

We get rid of parentheses

5/8x+1/12x-51/24=0

We calculate fractions


(-4896x^2)/4608x^2+2880x/4608x^2+384x/4608x^2=0

We multiply all the terms by the denominator


(-4896x^2)+2880x+384x=0

We add all the numbers together, and all the variables

(-4896x^2)+3264x=0

We get rid of parentheses

-4896x^2+3264x=0

a = -4896; b = 3264; c = 0;
Δ = b2-4ac
Δ = 32642-4·(-4896)·0
Δ = 10653696
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{10653696}=3264$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3264)-3264}{2*-4896}=\frac{-6528}{-9792}
=2/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3264)+3264}{2*-4896}=\frac{0}{-9792}
=0
$