20q^2-13qw-15w^2=0

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Solution for 20q^2-13qw-15w^2=0 equation: 


Simplifying
20q2 + -13qw + -15w2 = 0

Reorder the terms:
-13qw + 20q2 + -15w2 = 0

Solving
-13qw + 20q2 + -15w2 = 0

Solving for variable 'q'.

Factor a trinomial.
(4q + -5w)(5q + 3w) = 0


Subproblem 1
Set the factor '(4q + -5w)' equal to zero and attempt to solve:

Simplifying
4q + -5w = 0

Solving
4q + -5w = 0

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

Add '5w' to each side of the equation.
4q + -5w + 5w = 0 + 5w

Combine like terms: -5w + 5w = 0
4q + 0 = 0 + 5w
4q = 0 + 5w
Remove the zero:
4q = 5w

Divide each side by '4'.
q = 1.25w

Simplifying
q = 1.25w

Subproblem 2
Set the factor '(5q + 3w)' equal to zero and attempt to solve:

Simplifying
5q + 3w = 0

Solving
5q + 3w = 0

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

Add '-3w' to each side of the equation.
5q + 3w + -3w = 0 + -3w

Combine like terms: 3w + -3w = 0
5q + 0 = 0 + -3w
5q = 0 + -3w
Remove the zero:
5q = -3w

Divide each side by '5'.
q = -0.6w

Simplifying
q = -0.6w
Solution
q = {1.25w, -0.6w}

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