x=120+(7x/12)

Solution for x=120+(7x/12) equation:

x=120+(7x/12)

We move all terms to the left:

x-(120+(7x/12))=0

We add all the numbers together, and all the variables

x-(120+(+7x/12))=0

We multiply all the terms by the denominator


x*12))-(120+(+7x=0

We add all the numbers together, and all the variables

7x+x*12))-(120+(=0

Wy multiply elements

12x^2+7x=0

a = 12; b = 7; c = 0;
Δ = b2-4ac
Δ = 72-4·12·0
Δ = 49
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{49}=7$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-7}{2*12}=\frac{-14}{24}
=-7/12
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+7}{2*12}=\frac{0}{24}
=0
$