270=5(w)(w+3)

Solution for 270=5(w)(w+3) equation:

Simplifying
270 = 5(w)(w + 3)

Reorder the terms:
270 = 5w(3 + w)
270 = (3 * 5w + w * 5w)
270 = (15w + 5w2)

Solving
270 = 15w + 5w2

Solving for variable 'w'.

Reorder the terms:
270 + -15w + -5w2 = 15w + -15w + 5w2 + -5w2

Combine like terms: 15w + -15w = 0
270 + -15w + -5w2 = 0 + 5w2 + -5w2
270 + -15w + -5w2 = 5w2 + -5w2

Combine like terms: 5w2 + -5w2 = 0
270 + -15w + -5w2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(54 + -3w + -1w2) = 0

Factor a trinomial.
5((6 + -1w)(9 + w)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(6 + -1w)' equal to zero and attempt to solve:

Simplifying
6 + -1w = 0

Solving
6 + -1w = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1w = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1w = 0 + -6
-1w = 0 + -6

Combine like terms: 0 + -6 = -6
-1w = -6

Divide each side by '-1'.
w = 6

Simplifying
w = 6
Subproblem 2
Set the factor '(9 + w)' equal to zero and attempt to solve:

Simplifying
9 + w = 0

Solving
9 + w = 0

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

Add '-9' to each side of the equation.
9 + -9 + w = 0 + -9

Combine like terms: 9 + -9 = 0
0 + w = 0 + -9
w = 0 + -9

Combine like terms: 0 + -9 = -9
w = -9

Simplifying
w = -9
Solution
w = {6, -9}