(w+4)(w-1)=14

Solution for (w+4)(w-1)=14 equation:

Simplifying
(w + 4)(w + -1) = 14

Reorder the terms:
(4 + w)(w + -1) = 14

Reorder the terms:
(4 + w)(-1 + w) = 14

Multiply (4 + w) * (-1 + w)
(4(-1 + w) + w(-1 + w)) = 14
((-1 * 4 + w * 4) + w(-1 + w)) = 14
((-4 + 4w) + w(-1 + w)) = 14
(-4 + 4w + (-1 * w + w * w)) = 14
(-4 + 4w + (-1w + w2)) = 14

Combine like terms: 4w + -1w = 3w
(-4 + 3w + w2) = 14

Solving
-4 + 3w + w2 = 14

Solving for variable 'w'.

Reorder the terms:
-4 + -14 + 3w + w2 = 14 + -14

Combine like terms: -4 + -14 = -18
-18 + 3w + w2 = 14 + -14

Combine like terms: 14 + -14 = 0
-18 + 3w + w2 = 0

Factor a trinomial.
(-6 + -1w)(3 + -1w) = 0

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 '(3 + -1w)' equal to zero and attempt to solve:

Simplifying
3 + -1w = 0

Solving
3 + -1w = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1w = 0 + -3

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

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

Divide each side by '-1'.
w = 3

Simplifying
w = 3
Solution
w = {-6, 3}