88=(2w+14)w

Solution for 88=(2w+14)w equation:

Simplifying
88 = (2w + 14) * w

Reorder the terms:
88 = (14 + 2w) * w

Reorder the terms for easier multiplication:
88 = w(14 + 2w)
88 = (14 * w + 2w * w)
88 = (14w + 2w2)

Solving
88 = 14w + 2w2

Solving for variable 'w'.

Reorder the terms:
88 + -14w + -2w2 = 14w + -14w + 2w2 + -2w2

Combine like terms: 14w + -14w = 0
88 + -14w + -2w2 = 0 + 2w2 + -2w2
88 + -14w + -2w2 = 2w2 + -2w2

Combine like terms: 2w2 + -2w2 = 0
88 + -14w + -2w2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(44 + -7w + -1w2) = 0

Factor a trinomial.
2((4 + -1w)(11 + w)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(4 + -1w)' equal to zero and attempt to solve:

Simplifying
4 + -1w = 0

Solving
4 + -1w = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1w = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1w = 0 + -4
-1w = 0 + -4

Combine like terms: 0 + -4 = -4
-1w = -4

Divide each side by '-1'.
w = 4

Simplifying
w = 4
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 = {4, -11}