0=2W^2+3W-560

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Solution for 0=2W^2+3W-560 equation: 


Simplifying
0 = 2W2 + 3W + -560

Reorder the terms:
0 = -560 + 3W + 2W2

Solving
0 = -560 + 3W + 2W2

Solving for variable 'W'.

Combine like terms: 0 + 560 = 560
560 + -3W + -2W2 = -560 + 3W + 2W2 + 560 + -3W + -2W2

Reorder the terms:
560 + -3W + -2W2 = -560 + 560 + 3W + -3W + 2W2 + -2W2

Combine like terms: -560 + 560 = 0
560 + -3W + -2W2 = 0 + 3W + -3W + 2W2 + -2W2
560 + -3W + -2W2 = 3W + -3W + 2W2 + -2W2

Combine like terms: 3W + -3W = 0
560 + -3W + -2W2 = 0 + 2W2 + -2W2
560 + -3W + -2W2 = 2W2 + -2W2

Combine like terms: 2W2 + -2W2 = 0
560 + -3W + -2W2 = 0

Factor a trinomial.
(16 + -1W)(35 + 2W) = 0


Subproblem 1
Set the factor '(16 + -1W)' equal to zero and attempt to solve:

Simplifying
16 + -1W = 0

Solving
16 + -1W = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1W = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1W = 0 + -16
-1W = 0 + -16

Combine like terms: 0 + -16 = -16
-1W = -16

Divide each side by '-1'.
W = 16

Simplifying
W = 16

Subproblem 2
Set the factor '(35 + 2W)' equal to zero and attempt to solve:

Simplifying
35 + 2W = 0

Solving
35 + 2W = 0

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

Add '-35' to each side of the equation.
35 + -35 + 2W = 0 + -35

Combine like terms: 35 + -35 = 0
0 + 2W = 0 + -35
2W = 0 + -35

Combine like terms: 0 + -35 = -35
2W = -35

Divide each side by '2'.
W = -17.5

Simplifying
W = -17.5
Solution
W = {16, -17.5}

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