154=(w+3)(w)

Solution for 154=(w+3)(w) equation:

Simplifying
154 = (w + 3)(w)

Reorder the terms:
154 = (3 + w)(w)

Reorder the terms for easier multiplication:
154 = w(3 + w)
154 = (3 * w + w * w)
154 = (3w + w2)

Solving
154 = 3w + w2

Solving for variable 'w'.

Reorder the terms:
154 + -3w + -1w2 = 3w + -3w + w2 + -1w2

Combine like terms: 3w + -3w = 0
154 + -3w + -1w2 = 0 + w2 + -1w2
154 + -3w + -1w2 = w2 + -1w2

Combine like terms: w2 + -1w2 = 0
154 + -3w + -1w2 = 0

Factor a trinomial.
(11 + -1w)(14 + w) = 0

Subproblem 1
Set the factor '(11 + -1w)' equal to zero and attempt to solve:

Simplifying
11 + -1w = 0

Solving
11 + -1w = 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 + -1w = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1w = 0 + -11
-1w = 0 + -11

Combine like terms: 0 + -11 = -11
-1w = -11

Divide each side by '-1'.
w = 11

Simplifying
w = 11
Subproblem 2
Set the factor '(14 + w)' equal to zero and attempt to solve:

Simplifying
14 + w = 0

Solving
14 + w = 0

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

Add '-14' to each side of the equation.
14 + -14 + w = 0 + -14

Combine like terms: 14 + -14 = 0
0 + w = 0 + -14
w = 0 + -14

Combine like terms: 0 + -14 = -14
w = -14

Simplifying
w = -14
Solution
w = {11, -14}