x=24(2x/60)+120

Solution for x=24(2x/60)+120 equation:

x=24(2x/60)+120

We move all terms to the left:

x-(24(2x/60)+120)=0

We add all the numbers together, and all the variables

x-(24(+2x/60)+120)=0

We multiply all the terms by the denominator


x*60)+120)-(24(+2x=0

We add all the numbers together, and all the variables

2x+x*60)+120)-(24(=0

Wy multiply elements

60x^2+2x=0

a = 60; b = 2; c = 0;
Δ = b2-4ac
Δ = 22-4·60·0
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4}=2$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-2}{2*60}=\frac{-4}{120}
=-1/30
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+2}{2*60}=\frac{0}{120}
=0
$