5w^2-27w-56=0

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Solution for 5w^2-27w-56=0 equation: 


Simplifying
5w2 + -27w + -56 = 0

Reorder the terms:
-56 + -27w + 5w2 = 0

Solving
-56 + -27w + 5w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-8 + -5w)(7 + -1w) = 0


Subproblem 1
Set the factor '(-8 + -5w)' equal to zero and attempt to solve:

Simplifying
-8 + -5w = 0

Solving
-8 + -5w = 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 + -5w = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -5w = 0 + 8
-5w = 0 + 8

Combine like terms: 0 + 8 = 8
-5w = 8

Divide each side by '-5'.
w = -1.6

Simplifying
w = -1.6

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 = {-1.6, 7}

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