2w^2-18w+40=w^2-10w+25

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Solution for 2w^2-18w+40=w^2-10w+25 equation: 


Simplifying
2w2 + -18w + 40 = w2 + -10w + 25

Reorder the terms:
40 + -18w + 2w2 = w2 + -10w + 25

Reorder the terms:
40 + -18w + 2w2 = 25 + -10w + w2

Solving
40 + -18w + 2w2 = 25 + -10w + w2

Solving for variable 'w'.

Reorder the terms:
40 + -25 + -18w + 10w + 2w2 + -1w2 = 25 + -10w + w2 + -25 + 10w + -1w2

Combine like terms: 40 + -25 = 15
15 + -18w + 10w + 2w2 + -1w2 = 25 + -10w + w2 + -25 + 10w + -1w2

Combine like terms: -18w + 10w = -8w
15 + -8w + 2w2 + -1w2 = 25 + -10w + w2 + -25 + 10w + -1w2

Combine like terms: 2w2 + -1w2 = 1w2
15 + -8w + 1w2 = 25 + -10w + w2 + -25 + 10w + -1w2

Reorder the terms:
15 + -8w + 1w2 = 25 + -25 + -10w + 10w + w2 + -1w2

Combine like terms: 25 + -25 = 0
15 + -8w + 1w2 = 0 + -10w + 10w + w2 + -1w2
15 + -8w + 1w2 = -10w + 10w + w2 + -1w2

Combine like terms: -10w + 10w = 0
15 + -8w + 1w2 = 0 + w2 + -1w2
15 + -8w + 1w2 = w2 + -1w2

Combine like terms: w2 + -1w2 = 0
15 + -8w + 1w2 = 0

Factor a trinomial.
(3 + -1w)(5 + -1w) = 0


Subproblem 1
Set the factor '(3 + -1w)' equal to zero and attempt to solve:

Simplifying
3 + -1w = 0

Solving
3 + -1w = 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 + -1w = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1w = 0 + -3
-1w = 0 + -3

Combine like terms: 0 + -3 = -3
-1w = -3

Divide each side by '-1'.
w = 3

Simplifying
w = 3

Subproblem 2
Set the factor '(5 + -1w)' equal to zero and attempt to solve:

Simplifying
5 + -1w = 0

Solving
5 + -1w = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1w = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1w = 0 + -5
-1w = 0 + -5

Combine like terms: 0 + -5 = -5
-1w = -5

Divide each side by '-1'.
w = 5

Simplifying
w = 5
Solution
w = {3, 5}

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