Exercise
$3\left(m+2\right)^2+4\left(m+2\right)+1=0$
Step-by-step Solution
Learn how to solve problems step by step online. Solve the quadratic equation 3(m+2)^2+4(m+2)+1=0. Multiply the single term 4 by each term of the polynomial \left(m+2\right). Expand the expression \left(m+2\right)^2 using the square of a binomial: (a+b)^2=a^2+2ab+b^2. Multiply the single term 3 by each term of the polynomial \left(m^{2}+4m+4\right). Combining like terms 12m and 4m.
Solve the quadratic equation 3(m+2)^2+4(m+2)+1=0
Final answer to the exercise
$m=-3,\:m=-\frac{7}{3}$