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4/5x+7=2/6x
We move all terms to the left:
4/5x+7-(2/6x)=0
Domain of the equation: 5x!=0
x!=0/5
x!=0
x∈R
Domain of the equation: 6x)!=0We add all the numbers together, and all the variables
x!=0/1
x!=0
x∈R
4/5x-(+2/6x)+7=0
We get rid of parentheses
4/5x-2/6x+7=0
We calculate fractions
24x/30x^2+(-10x)/30x^2+7=0
We multiply all the terms by the denominator
24x+(-10x)+7*30x^2=0
Wy multiply elements
210x^2+24x+(-10x)=0
We get rid of parentheses
210x^2+24x-10x=0
We add all the numbers together, and all the variables
210x^2+14x=0
a = 210; b = 14; c = 0;
Δ = b2-4ac
Δ = 142-4·210·0
Δ = 196
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{196}=14$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(14)-14}{2*210}=\frac{-28}{420} =-1/15 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(14)+14}{2*210}=\frac{0}{420} =0 $
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