8w^2-71w+56=0

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Solution for 8w^2-71w+56=0 equation: 


Simplifying
8w2 + -71w + 56 = 0

Reorder the terms:
56 + -71w + 8w2 = 0

Solving
56 + -71w + 8w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(7 + -8w)(8 + -1w) = 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 '(8 + -1w)' equal to zero and attempt to solve:

Simplifying
8 + -1w = 0

Solving
8 + -1w = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1w = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1w = 0 + -8
-1w = 0 + -8

Combine like terms: 0 + -8 = -8
-1w = -8

Divide each side by '-1'.
w = 8

Simplifying
w = 8
Solution
w = {0.875, 8}

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