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180-60x=0/x
We move all terms to the left:
180-60x-(0/x)=0
Domain of the equation: x)!=0We add all the numbers together, and all the variables
x!=0/1
x!=0
x∈R
-60x-(+0/x)+180=0
We get rid of parentheses
-60x-0/x+180=0
We multiply all the terms by the denominator
-60x*x+180*x-0=0
We add all the numbers together, and all the variables
180x-60x*x=0
Wy multiply elements
-60x^2+180x=0
a = -60; b = 180; c = 0;
Δ = b2-4ac
Δ = 1802-4·(-60)·0
Δ = 32400
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{32400}=180$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(180)-180}{2*-60}=\frac{-360}{-120} =+3 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(180)+180}{2*-60}=\frac{0}{-120} =0 $
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