1+5/8x+3/2x=12

Solution for 1+5/8x+3/2x=12 equation:

1+5/8x+3/2x=12

We move all terms to the left:

1+5/8x+3/2x-(12)=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

5/8x+3/2x-11=0

We calculate fractions


10x/16x^2+24x/16x^2-11=0

We multiply all the terms by the denominator


10x+24x-11*16x^2=0

We add all the numbers together, and all the variables

34x-11*16x^2=0

Wy multiply elements

-176x^2+34x=0

a = -176; b = 34; c = 0;
Δ = b2-4ac
Δ = 342-4·(-176)·0
Δ = 1156
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1156}=34$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(34)-34}{2*-176}=\frac{-68}{-352}
=17/88
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(34)+34}{2*-176}=\frac{0}{-352}
=0
$