56q^2+19qw-15w^2=

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Solution for 56q^2+19qw-15w^2= equation: 


Simplifying
56q2 + 19qw + -15w2 = 0

Reorder the terms:
19qw + 56q2 + -15w2 = 0

Solving
19qw + 56q2 + -15w2 = 0

Solving for variable 'q'.

Factor a trinomial.
(8q + -3w)(7q + 5w) = 0


Subproblem 1
Set the factor '(8q + -3w)' equal to zero and attempt to solve:

Simplifying
8q + -3w = 0

Solving
8q + -3w = 0

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

Add '3w' to each side of the equation.
8q + -3w + 3w = 0 + 3w

Combine like terms: -3w + 3w = 0
8q + 0 = 0 + 3w
8q = 0 + 3w
Remove the zero:
8q = 3w

Divide each side by '8'.
q = 0.375w

Simplifying
q = 0.375w

Subproblem 2
Set the factor '(7q + 5w)' equal to zero and attempt to solve:

Simplifying
7q + 5w = 0

Solving
7q + 5w = 0

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

Add '-5w' to each side of the equation.
7q + 5w + -5w = 0 + -5w

Combine like terms: 5w + -5w = 0
7q + 0 = 0 + -5w
7q = 0 + -5w
Remove the zero:
7q = -5w

Divide each side by '7'.
q = -0.7142857143w

Simplifying
q = -0.7142857143w
Solution
q = {0.375w, -0.7142857143w}

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