(w-3)w=270

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Solution for (w-3)w=270 equation: 


Simplifying
(w + -3) * w = 270

Reorder the terms:
(-3 + w) * w = 270

Reorder the terms for easier multiplication:
w(-3 + w) = 270
(-3 * w + w * w) = 270
(-3w + w2) = 270

Solving
-3w + w2 = 270

Solving for variable 'w'.

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

Combine like terms: 270 + -270 = 0
-270 + -3w + w2 = 0

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


Subproblem 1
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

Subproblem 2
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
Solution
w = {-15, 18}

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