(9s^2+8t)(s^2-t)=0

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Solution for (9s^2+8t)(s^2-t)=0 equation: 


Simplifying
(9s2 + 8t)(s2 + -1t) = 0

Multiply (9s2 + 8t) * (s2 + -1t)
(9s2 * (s2 + -1t) + 8t * (s2 + -1t)) = 0
((s2 * 9s2 + -1t * 9s2) + 8t * (s2 + -1t)) = 0

Reorder the terms:
((-9s2t + 9s4) + 8t * (s2 + -1t)) = 0
((-9s2t + 9s4) + 8t * (s2 + -1t)) = 0
(-9s2t + 9s4 + (s2 * 8t + -1t * 8t)) = 0
(-9s2t + 9s4 + (8s2t + -8t2)) = 0

Reorder the terms:
(-9s2t + 8s2t + 9s4 + -8t2) = 0

Combine like terms: -9s2t + 8s2t = -1s2t
(-1s2t + 9s4 + -8t2) = 0

Solving
-1s2t + 9s4 + -8t2 = 0

Solving for variable 's'.

Factor a trinomial.
(s2 + -1t)(9s2 + 8t) = 0


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 '(9s2 + 8t)' equal to zero and attempt to solve:

Simplifying
9s2 + 8t = 0

Solving
9s2 + 8t = 0

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

Add '-8t' to each side of the equation.
9s2 + 8t + -8t = 0 + -8t

Combine like terms: 8t + -8t = 0
9s2 + 0 = 0 + -8t
9s2 = 0 + -8t
Remove the zero:
9s2 = -8t

Divide each side by '9'.
s2 = -0.8888888889t

Simplifying
s2 = -0.8888888889t

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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