12s^2+11sw-15w^2=0

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Solution for 12s^2+11sw-15w^2=0 equation: 


Simplifying
12s2 + 11sw + -15w2 = 0

Reorder the terms:
11sw + 12s2 + -15w2 = 0

Solving
11sw + 12s2 + -15w2 = 0

Solving for variable 's'.

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


Subproblem 1
Set the factor '(4s + -3w)' equal to zero and attempt to solve:

Simplifying
4s + -3w = 0

Solving
4s + -3w = 0

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

Add '3w' to each side of the equation.
4s + -3w + 3w = 0 + 3w

Combine like terms: -3w + 3w = 0
4s + 0 = 0 + 3w
4s = 0 + 3w
Remove the zero:
4s = 3w

Divide each side by '4'.
s = 0.75w

Simplifying
s = 0.75w

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

Simplifying
3s + 5w = 0

Solving
3s + 5w = 0

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

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

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

Divide each side by '3'.
s = -1.666666667w

Simplifying
s = -1.666666667w
Solution
s = {0.75w, -1.666666667w}

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