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Simplifying
s2 + -1t2 + 3s2 = 0
Reorder the terms:
s2 + 3s2 + -1t2 = 0
Combine like terms: s2 + 3s2 = 4s2
4s2 + -1t2 = 0
Solving
4s2 + -1t2 = 0
Solving for variable 's'.
Move all terms containing s to the left, all other terms to the right.
Add 't2' to each side of the equation.
4s2 + -1t2 + t2 = 0 + t2
Combine like terms: -1t2 + t2 = 0
4s2 + 0 = 0 + t2
4s2 = 0 + t2
Remove the zero:
4s2 = t2
Divide each side by '4'.
s2 = 0.25t2
Simplifying
s2 = 0.25t2
Take the square root of each side:
s = {-0.5t, 0.5t}
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