0=2w^2-5w-375

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Solution for 0=2w^2-5w-375 equation: 


Simplifying
0 = 2w2 + -5w + -375

Reorder the terms:
0 = -375 + -5w + 2w2

Solving
0 = -375 + -5w + 2w2

Solving for variable 'w'.

Combine like terms: 0 + 375 = 375
375 + 5w + -2w2 = -375 + -5w + 2w2 + 375 + 5w + -2w2

Reorder the terms:
375 + 5w + -2w2 = -375 + 375 + -5w + 5w + 2w2 + -2w2

Combine like terms: -375 + 375 = 0
375 + 5w + -2w2 = 0 + -5w + 5w + 2w2 + -2w2
375 + 5w + -2w2 = -5w + 5w + 2w2 + -2w2

Combine like terms: -5w + 5w = 0
375 + 5w + -2w2 = 0 + 2w2 + -2w2
375 + 5w + -2w2 = 2w2 + -2w2

Combine like terms: 2w2 + -2w2 = 0
375 + 5w + -2w2 = 0

Factor a trinomial.
(15 + -1w)(25 + 2w) = 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 '(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 = {15, -12.5}

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