Question

Factor the quadratic expression 6S(2)+18S=0​

Answer 1

Answer:

Simplifying

6s2 + 18s = 0

Reorder the terms:

18s + 6s2 = 0

Solving

18s + 6s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '6s'.

6s (3 + s) = 0

Ignore the factor 6.

Subproblem 1

Set the factor 's' equal to zero and attempt to solve:

Simplifying

s = 0

Solving

s = 0

Move all terms containing s to the left, all other terms to the right.

Simplifying

s = 0

Subproblem 2

Set the factor '(3 + s)' equal to zero and attempt to solve:

Simplifying

3 + s = 0

Solving

3 + s = 0

Move all terms containing s to the left, all other terms to the right.

Add '-3' to each side of the equation.

3 + -3 + s = 0 + -3

Combine like terms: 3 + -3 = 0

0 + s = 0 + -3

s = 0 + -3

Combine like terms: 0 + -3 = -3

s = -3

Simplifying

s = -3

Solution

s = {0, -3}