P(m) = 5m² + 20m+20 find zeros
Answers
Answer:
Step-by-step explanation:
Simplifying
5m2 + 20m + 20 = 0
Reorder the terms:
20 + 20m + 5m2 = 0
Solving
20 + 20m + 5m2 = 0
Solving for variable 'm'.
Factor out the Greatest Common Factor (GCF), '5'.
5(4 + 4m + m2) = 0
Factor a trinomial.
5((2 + m)(2 + m)) = 0
Ignore the factor 5.
Subproblem 1
Set the factor '(2 + m)' equal to zero and attempt to solve:
Simplifying
2 + m = 0
Solving
2 + m = 0
Move all terms containing m to the left, all other terms to the right.
Add '-2' to each side of the equation.
2 + -2 + m = 0 + -2
Combine like terms: 2 + -2 = 0
0 + m = 0 + -2
m = 0 + -2
Combine like terms: 0 + -2 = -2
m = -2
Simplifying
m = -2
Subproblem 2
Set the factor '(2 + m)' equal to zero and attempt to solve:
Simplifying
2 + m = 0
Solving
2 + m = 0
Move all terms containing m to the left, all other terms to the right.
Add '-2' to each side of the equation.
2 + -2 + m = 0 + -2
Combine like terms: 2 + -2 = 0
0 + m = 0 + -2
m = 0 + -2
Combine like terms: 0 + -2 = -2
m = -2
Simplifying
m = -2
Solution
m = {-2, -2}