3w^2-4w-119=0

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Solution for 3w^2-4w-119=0 equation: 


Simplifying
3w2 + -4w + -119 = 0

Reorder the terms:
-119 + -4w + 3w2 = 0

Solving
-119 + -4w + 3w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-17 + -3w)(7 + -1w) = 0


Subproblem 1
Set the factor '(-17 + -3w)' equal to zero and attempt to solve:

Simplifying
-17 + -3w = 0

Solving
-17 + -3w = 0

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

Add '17' to each side of the equation.
-17 + 17 + -3w = 0 + 17

Combine like terms: -17 + 17 = 0
0 + -3w = 0 + 17
-3w = 0 + 17

Combine like terms: 0 + 17 = 17
-3w = 17

Divide each side by '-3'.
w = -5.666666667

Simplifying
w = -5.666666667

Subproblem 2
Set the factor '(7 + -1w)' equal to zero and attempt to solve:

Simplifying
7 + -1w = 0

Solving
7 + -1w = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1w = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1w = 0 + -7
-1w = 0 + -7

Combine like terms: 0 + -7 = -7
-1w = -7

Divide each side by '-1'.
w = 7

Simplifying
w = 7
Solution
w = {-5.666666667, 7}

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