w^2+3w-270=0

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Solution for w^2+3w-270=0 equation: 


Simplifying
w2 + 3w + -270 = 0

Reorder the terms:
-270 + 3w + w2 = 0

Solving
-270 + 3w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-18 + -1w)(15 + -1w) = 0


Subproblem 1
Set the factor '(-18 + -1w)' equal to zero and attempt to solve:

Simplifying
-18 + -1w = 0

Solving
-18 + -1w = 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 + -1w = 0 + 18

Combine like terms: -18 + 18 = 0
0 + -1w = 0 + 18
-1w = 0 + 18

Combine like terms: 0 + 18 = 18
-1w = 18

Divide each side by '-1'.
w = -18

Simplifying
w = -18

Subproblem 2
Set the factor '(15 + -1w)' equal to zero and attempt to solve:

Simplifying
15 + -1w = 0

Solving
15 + -1w = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1w = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1w = 0 + -15
-1w = 0 + -15

Combine like terms: 0 + -15 = -15
-1w = -15

Divide each side by '-1'.
w = 15

Simplifying
w = 15
Solution
w = {-18, 15}

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