2s^6t^2+10s^3t^3+12t^4=

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Solution for 2s^6t^2+10s^3t^3+12t^4= equation: 


Simplifying
2s6t2 + 10s3t3 + 12t4 = 0

Reorder the terms:
10s3t3 + 2s6t2 + 12t4 = 0

Solving
10s3t3 + 2s6t2 + 12t4 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '2t2'.
2t2(5s3t + s6 + 6t2) = 0

Factor a trinomial.
2t2((s3 + 2t)(s3 + 3t)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 't2' equal to zero and attempt to solve:

Simplifying
t2 = 0

Solving
t2 = 0

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

Add '-1t2' to each side of the equation.
t2 + -1t2 = 0 + -1t2
Remove the zero:
0 = -1t2

Simplifying
0 = -1t2

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 '(s3 + 2t)' equal to zero and attempt to solve:

Simplifying
s3 + 2t = 0

Solving
s3 + 2t = 0

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

Add '-2t' to each side of the equation.
s3 + 2t + -2t = 0 + -2t

Combine like terms: 2t + -2t = 0
s3 + 0 = 0 + -2t
s3 = 0 + -2t
Remove the zero:
s3 = -2t

Simplifying
s3 = -2t

The solution to this equation could not be determined.

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

Subproblem 3
Set the factor '(s3 + 3t)' equal to zero and attempt to solve:

Simplifying
s3 + 3t = 0

Solving
s3 + 3t = 0

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

Add '-3t' to each side of the equation.
s3 + 3t + -3t = 0 + -3t

Combine like terms: 3t + -3t = 0
s3 + 0 = 0 + -3t
s3 = 0 + -3t
Remove the zero:
s3 = -3t

Simplifying
s3 = -3t

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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