0=2(w^2-15w-2700)

Solution for 0=2(w^2-15w-2700) equation:

Simplifying
0 = 2(w2 + -15w + -2700)

Reorder the terms:
0 = 2(-2700 + -15w + w2)
0 = (-2700 * 2 + -15w * 2 + w2 * 2)
0 = (-5400 + -30w + 2w2)

Solving
0 = -5400 + -30w + 2w2

Solving for variable 'w'.

Combine like terms: 0 + 5400 = 5400
5400 + 30w + -2w2 = -5400 + -30w + 2w2 + 5400 + 30w + -2w2

Reorder the terms:
5400 + 30w + -2w2 = -5400 + 5400 + -30w + 30w + 2w2 + -2w2

Combine like terms: -5400 + 5400 = 0
5400 + 30w + -2w2 = 0 + -30w + 30w + 2w2 + -2w2
5400 + 30w + -2w2 = -30w + 30w + 2w2 + -2w2

Combine like terms: -30w + 30w = 0
5400 + 30w + -2w2 = 0 + 2w2 + -2w2
5400 + 30w + -2w2 = 2w2 + -2w2

Combine like terms: 2w2 + -2w2 = 0
5400 + 30w + -2w2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(2700 + 15w + -1w2) = 0

Factor a trinomial.
2((60 + -1w)(45 + w)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(60 + -1w)' equal to zero and attempt to solve:

Simplifying
60 + -1w = 0

Solving
60 + -1w = 0

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

Add '-60' to each side of the equation.
60 + -60 + -1w = 0 + -60

Combine like terms: 60 + -60 = 0
0 + -1w = 0 + -60
-1w = 0 + -60

Combine like terms: 0 + -60 = -60
-1w = -60

Divide each side by '-1'.
w = 60

Simplifying
w = 60
Subproblem 2
Set the factor '(45 + w)' equal to zero and attempt to solve:

Simplifying
45 + w = 0

Solving
45 + w = 0

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

Add '-45' to each side of the equation.
45 + -45 + w = 0 + -45

Combine like terms: 45 + -45 = 0
0 + w = 0 + -45
w = 0 + -45

Combine like terms: 0 + -45 = -45
w = -45

Simplifying
w = -45
Solution
w = {60, -45}