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8x-3*10x+50=18x/6x+25*2
We move all terms to the left:
8x-3*10x+50-(18x/6x+25*2)=0
Domain of the equation: 6x+25*2)!=0We add all the numbers together, and all the variables
x∈R
8x-3*10x-(18x/6x+50)+50=0
Wy multiply elements
8x-30x-(18x/6x+50)+50=0
We get rid of parentheses
8x-30x-18x/6x-50+50=0
We multiply all the terms by the denominator
8x*6x-30x*6x-18x-50*6x+50*6x=0
We add all the numbers together, and all the variables
-18x+8x*6x-30x*6x-50*6x+50*6x=0
Wy multiply elements
48x^2-180x^2-18x-300x+300x=0
We add all the numbers together, and all the variables
-132x^2-18x=0
a = -132; b = -18; c = 0;
Δ = b2-4ac
Δ = -182-4·(-132)·0
Δ = 324
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{324}=18$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-18)-18}{2*-132}=\frac{0}{-264} =0 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-18)+18}{2*-132}=\frac{36}{-264} =-3/22 $
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