(st+st^2-t^3)+(3st^2-ts-3t^3)=0

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Solution for (st+st^2-t^3)+(3st^2-ts-3t^3)=0 equation:


Simplifying
(st + st2 + -1t3) + (3st2 + -1ts + -3t3) = 0

Remove parenthesis around (st + st2 + -1t3)
st + st2 + -1t3 + (3st2 + -1ts + -3t3) = 0

Reorder the terms:
st + st2 + -1t3 + (-1st + 3st2 + -3t3) = 0

Remove parenthesis around (-1st + 3st2 + -3t3)
st + st2 + -1t3 + -1st + 3st2 + -3t3 = 0

Reorder the terms:
st + -1st + st2 + 3st2 + -1t3 + -3t3 = 0

Combine like terms: st + -1st = 0
0 + st2 + 3st2 + -1t3 + -3t3 = 0
st2 + 3st2 + -1t3 + -3t3 = 0

Combine like terms: st2 + 3st2 = 4st2
4st2 + -1t3 + -3t3 = 0

Combine like terms: -1t3 + -3t3 = -4t3
4st2 + -4t3 = 0

Solving
4st2 + -4t3 = 0

Solving for variable 's'.

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

Add '4t3' to each side of the equation.
4st2 + -4t3 + 4t3 = 0 + 4t3

Combine like terms: -4t3 + 4t3 = 0
4st2 + 0 = 0 + 4t3
4st2 = 0 + 4t3
Remove the zero:
4st2 = 4t3

Divide each side by '4t2'.
s = t

Simplifying
s = t

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