s^2-3sx-70x^2=0

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Solution for s^2-3sx-70x^2=0 equation: 


Simplifying
s2 + -3sx + -70x2 = 0

Reorder the terms:
-3sx + s2 + -70x2 = 0

Solving
-3sx + s2 + -70x2 = 0

Solving for variable 's'.

Factor a trinomial.
(s + -10x)(s + 7x) = 0


Subproblem 1
Set the factor '(s + -10x)' equal to zero and attempt to solve:

Simplifying
s + -10x = 0

Solving
s + -10x = 0

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

Add '10x' to each side of the equation.
s + -10x + 10x = 0 + 10x

Combine like terms: -10x + 10x = 0
s + 0 = 0 + 10x
s = 0 + 10x
Remove the zero:
s = 10x

Simplifying
s = 10x

Subproblem 2
Set the factor '(s + 7x)' equal to zero and attempt to solve:

Simplifying
s + 7x = 0

Solving
s + 7x = 0

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

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

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

Simplifying
s = -7x
Solution
s = {10x, -7x}

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