Quantity x squared plus 4 x minus 5 over quantity 5 x squared minus 8 x plus 3 times quantity 20 x minus 12 over x squared minus 6 x minus 55.

The answer is .

We want to factor each numerator and denominator:



For the numerator of the ratio on the left, we want factors of -5 that sum to 4; 5(-1) = -5 and 5+(-1) = 4:



Factoring the denominator of the ratio on the left, we want factors of 5*3 that sum to -8; -5(-3) = 15 and -5+(-3) = -8:



We factor by grouping on the denominator on the left now:


Factor the GCF out of the numerator on the right:


For the denominator on the right, we want factors of -55 that sum to -6; -11(5) = -55 and -11+5 = -6:


Cancelling everything that is common on the numerators and denominators, we are left with 

5/8 beds for each square yard