275=(2w+3)(w)

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Solution for 275=(2w+3)(w) equation: 


Simplifying
275 = (2w + 3)(w)

Reorder the terms:
275 = (3 + 2w)(w)

Reorder the terms for easier multiplication:
275 = w(3 + 2w)
275 = (3 * w + 2w * w)
275 = (3w + 2w2)

Solving
275 = 3w + 2w2

Solving for variable 'w'.

Reorder the terms:
275 + -3w + -2w2 = 3w + -3w + 2w2 + -2w2

Combine like terms: 3w + -3w = 0
275 + -3w + -2w2 = 0 + 2w2 + -2w2
275 + -3w + -2w2 = 2w2 + -2w2

Combine like terms: 2w2 + -2w2 = 0
275 + -3w + -2w2 = 0

Factor a trinomial.
(11 + -1w)(25 + 2w) = 0


Subproblem 1
Set the factor '(11 + -1w)' equal to zero and attempt to solve:

Simplifying
11 + -1w = 0

Solving
11 + -1w = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1w = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1w = 0 + -11
-1w = 0 + -11

Combine like terms: 0 + -11 = -11
-1w = -11

Divide each side by '-1'.
w = 11

Simplifying
w = 11

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 = {11, -12.5}

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