5w^2-17w+14=0

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Solution for 5w^2-17w+14=0 equation: 


Simplifying
5w2 + -17w + 14 = 0

Reorder the terms:
14 + -17w + 5w2 = 0

Solving
14 + -17w + 5w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(7 + -5w)(2 + -1w) = 0


Subproblem 1
Set the factor '(7 + -5w)' equal to zero and attempt to solve:

Simplifying
7 + -5w = 0

Solving
7 + -5w = 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 + -5w = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -5w = 0 + -7
-5w = 0 + -7

Combine like terms: 0 + -7 = -7
-5w = -7

Divide each side by '-5'.
w = 1.4

Simplifying
w = 1.4

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

Simplifying
2 + -1w = 0

Solving
2 + -1w = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1w = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1w = 0 + -2
-1w = 0 + -2

Combine like terms: 0 + -2 = -2
-1w = -2

Divide each side by '-1'.
w = 2

Simplifying
w = 2
Solution
w = {1.4, 2}

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