w^2-34w+225=0

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Solution for w^2-34w+225=0 equation: 


Simplifying
w2 + -34w + 225 = 0

Reorder the terms:
225 + -34w + w2 = 0

Solving
225 + -34w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(9 + -1w)(25 + -1w) = 0


Subproblem 1
Set the factor '(9 + -1w)' equal to zero and attempt to solve:

Simplifying
9 + -1w = 0

Solving
9 + -1w = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1w = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1w = 0 + -9
-1w = 0 + -9

Combine like terms: 0 + -9 = -9
-1w = -9

Divide each side by '-1'.
w = 9

Simplifying
w = 9

Subproblem 2
Set the factor '(25 + -1w)' equal to zero and attempt to solve:

Simplifying
25 + -1w = 0

Solving
25 + -1w = 0

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

Add '-25' to each side of the equation.
25 + -25 + -1w = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -1w = 0 + -25
-1w = 0 + -25

Combine like terms: 0 + -25 = -25
-1w = -25

Divide each side by '-1'.
w = 25

Simplifying
w = 25
Solution
w = {9, 25}

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