Question

Help please someone I have solved this multiple times factoring out the quadratic equations and I keep getting m as -1. But the correct answer says m is -5.

Answer 1

Answer: m = -5

Explanation:

`(m+3)/(m^2+4m+3)-(3)/(m^2+6m+9)=(m-3)/(m^2+4m+3)\\\\\\(m+3)/((m+3)(m+1))-(3)/((m+3)(m+3))=(m-3)/((m+3)(m+1))\quad \rightarrow m\\eq-3, m\\eq-1`

Multiply by the LCD (m+3)(m+3)(m+1) to eliminate the denominator. The result is:

(m + 3)(m + 3) - 3(m + 1) = (m - 3)(m - 3)

Multiply binomials, add like terms, and solve for m:

(m² + 6m + 9) - (3m + 3) = m² - 9

m² + 6m + 9 - 3m - 3 = m² - 9

m² + 3m + 6 = m² - 9

3m + 6 = -9

3m = -15

m = -5