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/6x+11+5x+15=180
We move all terms to the left:
/6x+11+5x+15-(180)=0
Domain of the equation: 6x!=0We add all the numbers together, and all the variables
x!=0/6
x!=0
x∈R
5x+/6x-154=0
We multiply all the terms by the denominator
5x*6x-154*6x+=0
We add all the numbers together, and all the variables
5x*6x-154*6x=0
Wy multiply elements
30x^2-924x=0
a = 30; b = -924; c = 0;
Δ = b2-4ac
Δ = -9242-4·30·0
Δ = 853776
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{853776}=924$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-924)-924}{2*30}=\frac{0}{60} =0 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-924)+924}{2*30}=\frac{1848}{60} =30+4/5 $
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