(2s^2+t)(3s^2-3t)=0

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


Simplifying
(2s2 + t)(3s2 + -3t) = 0

Multiply (2s2 + t) * (3s2 + -3t)
(2s2 * (3s2 + -3t) + t(3s2 + -3t)) = 0
((3s2 * 2s2 + -3t * 2s2) + t(3s2 + -3t)) = 0

Reorder the terms:
((-6s2t + 6s4) + t(3s2 + -3t)) = 0
((-6s2t + 6s4) + t(3s2 + -3t)) = 0
(-6s2t + 6s4 + (3s2 * t + -3t * t)) = 0
(-6s2t + 6s4 + (3s2t + -3t2)) = 0

Reorder the terms:
(-6s2t + 3s2t + 6s4 + -3t2) = 0

Combine like terms: -6s2t + 3s2t = -3s2t
(-3s2t + 6s4 + -3t2) = 0

Solving
-3s2t + 6s4 + -3t2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-1s2t + 2s4 + -1t2) = 0

Factor a trinomial.
3((s2 + -1t)(2s2 + t)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(s2 + -1t)' equal to zero and attempt to solve:

Simplifying
s2 + -1t = 0

Solving
s2 + -1t = 0

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

Add 't' to each side of the equation.
s2 + -1t + t = 0 + t

Combine like terms: -1t + t = 0
s2 + 0 = 0 + t
s2 = 0 + t
Remove the zero:
s2 = t

Simplifying
s2 = t

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(2s2 + t)' equal to zero and attempt to solve:

Simplifying
2s2 + t = 0

Solving
2s2 + t = 0

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

Add '-1t' to each side of the equation.
2s2 + t + -1t = 0 + -1t

Combine like terms: t + -1t = 0
2s2 + 0 = 0 + -1t
2s2 = 0 + -1t
Remove the zero:
2s2 = -1t

Divide each side by '2'.
s2 = -0.5t

Simplifying
s2 = -0.5t

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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