16w^2-54w+35=0

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Solution for 16w^2-54w+35=0 equation: 


Simplifying
16w2 + -54w + 35 = 0

Reorder the terms:
35 + -54w + 16w2 = 0

Solving
35 + -54w + 16w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(7 + -8w)(5 + -2w) = 0


Subproblem 1
Set the factor '(7 + -8w)' equal to zero and attempt to solve:

Simplifying
7 + -8w = 0

Solving
7 + -8w = 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 + -8w = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -8w = 0 + -7
-8w = 0 + -7

Combine like terms: 0 + -7 = -7
-8w = -7

Divide each side by '-8'.
w = 0.875

Simplifying
w = 0.875

Subproblem 2
Set the factor '(5 + -2w)' equal to zero and attempt to solve:

Simplifying
5 + -2w = 0

Solving
5 + -2w = 0

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

Add '-5' to each side of the equation.
5 + -5 + -2w = 0 + -5

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

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

Divide each side by '-2'.
w = 2.5

Simplifying
w = 2.5
Solution
w = {0.875, 2.5}

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