s^2-2sx-15x^2=0

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Solution for s^2-2sx-15x^2=0 equation: 


Simplifying
s2 + -2sx + -15x2 = 0

Reorder the terms:
-2sx + s2 + -15x2 = 0

Solving
-2sx + s2 + -15x2 = 0

Solving for variable 's'.

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


Subproblem 1
Set the factor '(s + -5x)' equal to zero and attempt to solve:

Simplifying
s + -5x = 0

Solving
s + -5x = 0

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

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

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

Simplifying
s = 5x

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

Simplifying
s + 3x = 0

Solving
s + 3x = 0

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

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

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

Simplifying
s = -3x
Solution
s = {5x, -3x}

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