60=2(w+9)(w-4)

Solution for 60=2(w+9)(w-4) equation:

Simplifying
60 = 2(w + 9)(w + -4)

Reorder the terms:
60 = 2(9 + w)(w + -4)

Reorder the terms:
60 = 2(9 + w)(-4 + w)

Multiply (9 + w) * (-4 + w)
60 = 2(9(-4 + w) + w(-4 + w))
60 = 2((-4 * 9 + w * 9) + w(-4 + w))
60 = 2((-36 + 9w) + w(-4 + w))
60 = 2(-36 + 9w + (-4 * w + w * w))
60 = 2(-36 + 9w + (-4w + w2))

Combine like terms: 9w + -4w = 5w
60 = 2(-36 + 5w + w2)
60 = (-36 * 2 + 5w * 2 + w2 * 2)
60 = (-72 + 10w + 2w2)

Solving
60 = -72 + 10w + 2w2

Solving for variable 'w'.

Combine like terms: 60 + 72 = 132
132 + -10w + -2w2 = -72 + 10w + 2w2 + 72 + -10w + -2w2

Reorder the terms:
132 + -10w + -2w2 = -72 + 72 + 10w + -10w + 2w2 + -2w2

Combine like terms: -72 + 72 = 0
132 + -10w + -2w2 = 0 + 10w + -10w + 2w2 + -2w2
132 + -10w + -2w2 = 10w + -10w + 2w2 + -2w2

Combine like terms: 10w + -10w = 0
132 + -10w + -2w2 = 0 + 2w2 + -2w2
132 + -10w + -2w2 = 2w2 + -2w2

Combine like terms: 2w2 + -2w2 = 0
132 + -10w + -2w2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(66 + -5w + -1w2) = 0

Factor a trinomial.
2((6 + -1w)(11 + w)) = 0

Ignore the factor 2.
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 '(11 + w)' equal to zero and attempt to solve:

Simplifying
11 + w = 0

Solving
11 + w = 0

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

Add '-11' to each side of the equation.
11 + -11 + w = 0 + -11

Combine like terms: 11 + -11 = 0
0 + w = 0 + -11
w = 0 + -11

Combine like terms: 0 + -11 = -11
w = -11

Simplifying
w = -11
Solution
w = {6, -11}