3w^2-8w-275=0

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Solution for 3w^2-8w-275=0 equation: 


Simplifying
3w2 + -8w + -275 = 0

Reorder the terms:
-275 + -8w + 3w2 = 0

Solving
-275 + -8w + 3w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-25 + -3w)(11 + -1w) = 0


Subproblem 1
Set the factor '(-25 + -3w)' equal to zero and attempt to solve:

Simplifying
-25 + -3w = 0

Solving
-25 + -3w = 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 + -3w = 0 + 25

Combine like terms: -25 + 25 = 0
0 + -3w = 0 + 25
-3w = 0 + 25

Combine like terms: 0 + 25 = 25
-3w = 25

Divide each side by '-3'.
w = -8.333333333

Simplifying
w = -8.333333333

Subproblem 2
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
Solution
w = {-8.333333333, 11}

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