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2x/3x-8x/15x=16/5
We move all terms to the left:
2x/3x-8x/15x-(16/5)=0
Domain of the equation: 3x!=0
x!=0/3
x!=0
x∈R
Domain of the equation: 15x!=0We add all the numbers together, and all the variables
x!=0/15
x!=0
x∈R
2x/3x-8x/15x-(+16/5)=0
We get rid of parentheses
2x/3x-8x/15x-16/5=0
We calculate fractions
(-600x^2)/1125x^2+(-720x^2)/1125x^2+750x^2/1125x^2=0
We multiply all the terms by the denominator
(-600x^2)+(-720x^2)+750x^2=0
We add all the numbers together, and all the variables
750x^2+(-600x^2)+(-720x^2)=0
We get rid of parentheses
750x^2-600x^2-720x^2=0
We add all the numbers together, and all the variables
-570x^2=0
a = -570; b = 0; c = 0;
Δ = b2-4ac
Δ = 02-4·(-570)·0
Δ = 0
Delta is equal to zero, so there is only one solution to the equation
Stosujemy wzór:$x=\frac{-b}{2a}=\frac{0}{-1140}=0$
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