Can anyone solve this PPPPPlease 5/x-3 + 2/x+3= -7x/x^2-9
5/(x-3) + 2/(x+3) = -7x(x^2-9)
5(x+3) + 2(x-3) = -7x
all over x^2-9. So, assuming x is not 3 or -3,
5x+15 + 2x - 6 = -7x
14x = -9
x = -9/14
Thanks
Yes, this equation can be solved. To do so, we must find the value of x that satisfies the equation:
5/(x - 3) + 2/(x + 3) = -7x/(x^2 - 9)
To solve this equation, we can follow these steps:
Step 1: Factorize the denominator of the fraction on the right side of the equation.
The denominator x^2 - 9 can be factored as (x - 3)(x + 3).
Step 2: Find the least common denominator (LCD) for the fractions on the left side of the equation.
The LCD for 5/(x - 3) and 2/(x + 3) is (x - 3)(x + 3).
Step 3: Multiply both sides of the equation by the LCD to eliminate the fractions.
After multiplying both sides by (x - 3)(x + 3), the equation becomes:
5(x + 3) + 2(x - 3) = -7x
Step 4: Expand and simplify the equation.
Performing the multiplication and simplifying the expression, we get:
5x + 15 + 2x - 6 = -7x
Simplifying further, we have:
7x + 9 = -7x
Step 5: Now, let's isolate the x terms on one side by adding 7x to both sides:
7x + 7x + 9 = 0
Simplifying, we have:
14x + 9 = 0
Step 6: To solve for x, we subtract 9 from both sides:
14x = -9
Step 7: Finally, divide both sides by 14 to calculate the value of x:
x = -9/14
Therefore, the solution to the equation 5/(x - 3) + 2/(x + 3) = -7x/(x^2 - 9) is x = -9/14.