=w^2+30w+81

Solution for =w^2+30w+81 equation:

Simplifying
0 = w2 + 30w + 81

Reorder the terms:
0 = 81 + 30w + w2

Solving
0 = 81 + 30w + w2

Solving for variable 'w'.

Combine like terms: 0 + -81 = -81
-81 + -30w + -1w2 = 81 + 30w + w2 + -81 + -30w + -1w2

Reorder the terms:
-81 + -30w + -1w2 = 81 + -81 + 30w + -30w + w2 + -1w2

Combine like terms: 81 + -81 = 0
-81 + -30w + -1w2 = 0 + 30w + -30w + w2 + -1w2
-81 + -30w + -1w2 = 30w + -30w + w2 + -1w2

Combine like terms: 30w + -30w = 0
-81 + -30w + -1w2 = 0 + w2 + -1w2
-81 + -30w + -1w2 = w2 + -1w2

Combine like terms: w2 + -1w2 = 0
-81 + -30w + -1w2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(81 + 30w + w2) = 0

Factor a trinomial.
-1((27 + w)(3 + w)) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(27 + w)' equal to zero and attempt to solve:

Simplifying
27 + w = 0

Solving
27 + w = 0

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

Add '-27' to each side of the equation.
27 + -27 + w = 0 + -27

Combine like terms: 27 + -27 = 0
0 + w = 0 + -27
w = 0 + -27

Combine like terms: 0 + -27 = -27
w = -27

Simplifying
w = -27
Subproblem 2
Set the factor '(3 + w)' equal to zero and attempt to solve:

Simplifying
3 + w = 0

Solving
3 + w = 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 + w = 0 + -3

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

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

Simplifying
w = -3
Solution
w = {-27, -3}