6w^2+37w+56=0

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Solution for 6w^2+37w+56=0 equation: 


Simplifying
6w2 + 37w + 56 = 0

Reorder the terms:
56 + 37w + 6w2 = 0

Solving
56 + 37w + 6w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(7 + 2w)(8 + 3w) = 0


Subproblem 1
Set the factor '(7 + 2w)' equal to zero and attempt to solve:

Simplifying
7 + 2w = 0

Solving
7 + 2w = 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 + 2w = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2w = 0 + -7
2w = 0 + -7

Combine like terms: 0 + -7 = -7
2w = -7

Divide each side by '2'.
w = -3.5

Simplifying
w = -3.5

Subproblem 2
Set the factor '(8 + 3w)' equal to zero and attempt to solve:

Simplifying
8 + 3w = 0

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

Combine like terms: 8 + -8 = 0
0 + 3w = 0 + -8
3w = 0 + -8

Combine like terms: 0 + -8 = -8
3w = -8

Divide each side by '3'.
w = -2.666666667

Simplifying
w = -2.666666667
Solution
w = {-3.5, -2.666666667}

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