SOLUTION: Hey, I'm needing some help checking this problem for an exam review: Solve the equation: (5/a) - (7)/(a+1) = (a^2

SOLUTION: Hey, I'm needing some help checking this problem for an exam review: Solve the equation: (5/a) - (7)/(a+1) = (a^2 - 2a + 4)/(a^2 + a) thanks!

Question 190424: Hey, I'm needing some help checking this problem for an exam review:
Solve the equation:
(5/a) - (7)/(a+1) = (a^2 - 2a + 4)/(a^2 + a)
thanks!
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

Factor the last denominator

So we can see that the LCD is . Take note that or (these values cause a division by zero)

Multiply EVERY term by the LCD to clear the fractions

Simplify

Distribute

Combine like terms.

Get all of the terms to the right side.

Combine like terms.

Factor

or Set each factor equal to zero

or Solve each equation

Remember, our original restrictions are or . So this means that is NOT a solution

So the only solution is
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