6s^2+13sw-63w^2=0

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Solution for 6s^2+13sw-63w^2=0 equation: 


Simplifying
6s2 + 13sw + -63w2 = 0

Reorder the terms:
13sw + 6s2 + -63w2 = 0

Solving
13sw + 6s2 + -63w2 = 0

Solving for variable 's'.

Factor a trinomial.
(3s + -7w)(2s + 9w) = 0


Subproblem 1
Set the factor '(3s + -7w)' equal to zero and attempt to solve:

Simplifying
3s + -7w = 0

Solving
3s + -7w = 0

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

Add '7w' to each side of the equation.
3s + -7w + 7w = 0 + 7w

Combine like terms: -7w + 7w = 0
3s + 0 = 0 + 7w
3s = 0 + 7w
Remove the zero:
3s = 7w

Divide each side by '3'.
s = 2.333333333w

Simplifying
s = 2.333333333w

Subproblem 2
Set the factor '(2s + 9w)' equal to zero and attempt to solve:

Simplifying
2s + 9w = 0

Solving
2s + 9w = 0

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

Add '-9w' to each side of the equation.
2s + 9w + -9w = 0 + -9w

Combine like terms: 9w + -9w = 0
2s + 0 = 0 + -9w
2s = 0 + -9w
Remove the zero:
2s = -9w

Divide each side by '2'.
s = -4.5w

Simplifying
s = -4.5w
Solution
s = {2.333333333w, -4.5w}

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