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21-1/21(3x)=14-1/24(2x)
We move all terms to the left:
21-1/21(3x)-(14-1/24(2x))=0
Domain of the equation: 213x!=0
x!=0/213
x!=0
x∈R
Domain of the equation: 242x)!=0We add all the numbers together, and all the variables
x!=0/1
x!=0
x∈R
-1/213x-(-1/242x+14)+21=0
We get rid of parentheses
-1/213x+1/242x-14+21=0
We calculate fractions
(-242x)/51546x^2+213x/51546x^2-14+21=0
We add all the numbers together, and all the variables
(-242x)/51546x^2+213x/51546x^2+7=0
We multiply all the terms by the denominator
(-242x)+213x+7*51546x^2=0
We add all the numbers together, and all the variables
213x+(-242x)+7*51546x^2=0
Wy multiply elements
360822x^2+213x+(-242x)=0
We get rid of parentheses
360822x^2+213x-242x=0
We add all the numbers together, and all the variables
360822x^2-29x=0
a = 360822; b = -29; c = 0;
Δ = b2-4ac
Δ = -292-4·360822·0
Δ = 841
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{841}=29$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-29)-29}{2*360822}=\frac{0}{721644} =0 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-29)+29}{2*360822}=\frac{58}{721644} =29/360822 $
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