0=w^2+1w-306

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Solution for 0=w^2+1w-306 equation:


Simplifying
0 = w2 + 1w + -306

Reorder the terms:
0 = -306 + 1w + w2

Solving
0 = -306 + 1w + w2

Solving for variable 'w'.

Combine like terms: 0 + 306 = 306
306 + -1w + -1w2 = -306 + 1w + w2 + 306 + -1w + -1w2

Reorder the terms:
306 + -1w + -1w2 = -306 + 306 + 1w + -1w + w2 + -1w2

Combine like terms: -306 + 306 = 0
306 + -1w + -1w2 = 0 + 1w + -1w + w2 + -1w2
306 + -1w + -1w2 = 1w + -1w + w2 + -1w2

Combine like terms: 1w + -1w = 0
306 + -1w + -1w2 = 0 + w2 + -1w2
306 + -1w + -1w2 = w2 + -1w2

Combine like terms: w2 + -1w2 = 0
306 + -1w + -1w2 = 0

Factor a trinomial.
(17 + -1w)(18 + w) = 0


Subproblem 1
Set the factor '(17 + -1w)' equal to zero and attempt to solve:

Simplifying
17 + -1w = 0

Solving
17 + -1w = 0

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

Add '-17' to each side of the equation.
17 + -17 + -1w = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -1w = 0 + -17
-1w = 0 + -17

Combine like terms: 0 + -17 = -17
-1w = -17

Divide each side by '-1'.
w = 17

Simplifying
w = 17

Subproblem 2
Set the factor '(18 + w)' equal to zero and attempt to solve:

Simplifying
18 + w = 0

Solving
18 + w = 0

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

Add '-18' to each side of the equation.
18 + -18 + w = 0 + -18

Combine like terms: 18 + -18 = 0
0 + w = 0 + -18
w = 0 + -18

Combine like terms: 0 + -18 = -18
w = -18

Simplifying
w = -18
Solution
w = {17, -18}

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