Solve the equation 12a3 + 12a2 = -3a. Show all work.
Mathematics · Middle School · Thu Feb 04 2021
Answered on
Given the equation:
12a^3 + 12a^2 = -3a
Solve the equation.
Solution:
The equation can be solve by factoring. Transpose first -3a to the other side of the equation. Hence, it must be taken to note that in transposing a number, the sign changes.
12a^3 + 12a^2 = -3a
12a^3 + 12a^2 + 3a =0
Factor out 3a from the equation since the gcf of 12 and 3, is 3, and for the terms, we factor out the term which has the least place value, in our case is a.
= 3a ( 4a^2 + 4a + 1)
Final answer:
= 3a ( 4a^2 + 4a + 1)