250=(2w+5)*w

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Solution for 250=(2w+5)*w equation: 


Simplifying
250 = (2w + 5) * w

Reorder the terms:
250 = (5 + 2w) * w

Reorder the terms for easier multiplication:
250 = w(5 + 2w)
250 = (5 * w + 2w * w)
250 = (5w + 2w2)

Solving
250 = 5w + 2w2

Solving for variable 'w'.

Reorder the terms:
250 + -5w + -2w2 = 5w + -5w + 2w2 + -2w2

Combine like terms: 5w + -5w = 0
250 + -5w + -2w2 = 0 + 2w2 + -2w2
250 + -5w + -2w2 = 2w2 + -2w2

Combine like terms: 2w2 + -2w2 = 0
250 + -5w + -2w2 = 0

Factor a trinomial.
(10 + -1w)(25 + 2w) = 0


Subproblem 1
Set the factor '(10 + -1w)' equal to zero and attempt to solve:

Simplifying
10 + -1w = 0

Solving
10 + -1w = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1w = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1w = 0 + -10
-1w = 0 + -10

Combine like terms: 0 + -10 = -10
-1w = -10

Divide each side by '-1'.
w = 10

Simplifying
w = 10

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

Simplifying
25 + 2w = 0

Solving
25 + 2w = 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 + 2w = 0 + -25

Combine like terms: 25 + -25 = 0
0 + 2w = 0 + -25
2w = 0 + -25

Combine like terms: 0 + -25 = -25
2w = -25

Divide each side by '2'.
w = -12.5

Simplifying
w = -12.5
Solution
w = {10, -12.5}

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