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17(6x-50)=204(7/24x)
We move all terms to the left:
17(6x-50)-(204(7/24x))=0
Domain of the equation: 24x))!=0We add all the numbers together, and all the variables
x!=0/1
x!=0
x∈R
17(6x-50)-(204(+7/24x))=0
We multiply parentheses
102x-(204(+7/24x))-850=0
We multiply all the terms by the denominator
102x*24x))-(204(-850*24x))+7=0
Wy multiply elements
2448x^2-20400x=0
a = 2448; b = -20400; c = 0;
Δ = b2-4ac
Δ = -204002-4·2448·0
Δ = 416160000
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{416160000}=20400$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-20400)-20400}{2*2448}=\frac{0}{4896} =0 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-20400)+20400}{2*2448}=\frac{40800}{4896} =8+1/3 $
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