x/x+3 + 2/5=0
x/(x+3) = -2/5
Multiply both sides by 5 and x+3.
5x = -2(x+3)
5x = -2x - 6
7x = -6
x = -6/7
To solve the equation, we need to find the value of x that satisfies the equation:
x/(x + 3) + 2/5 = 0
To eliminate the fractions, we can find a common denominator for both terms:
The common denominator is (x + 3) * 5:
[(5 * x)/(x + 3) + (2 * (x + 3))/5] = 0
Now, simplify the equation by distributing the numerators:
(5x + 2(x + 3))/[(x + 3) * 5] = 0
Simplifying further:
(5x + 2x + 6)/[(x + 3) * 5] = 0
(7x + 6)/[(x + 3) * 5] = 0
To solve the equation, set the numerator equal to zero:
7x + 6 = 0
Subtract 6 from both sides:
7x = -6
Divide both sides by 7:
x = -6/7
Therefore, the solution to the equation x/(x + 3) + 2/5 = 0 is x = -6/7.