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

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


Simplifying
(r2 + -1t)(2r2 + 3t) = 0

Multiply (r2 + -1t) * (2r2 + 3t)
(r2(2r2 + 3t) + -1t * (2r2 + 3t)) = 0
((2r2 * r2 + 3t * r2) + -1t * (2r2 + 3t)) = 0

Reorder the terms:
((3r2t + 2r4) + -1t * (2r2 + 3t)) = 0
((3r2t + 2r4) + -1t * (2r2 + 3t)) = 0
(3r2t + 2r4 + (2r2 * -1t + 3t * -1t)) = 0
(3r2t + 2r4 + (-2r2t + -3t2)) = 0

Reorder the terms:
(3r2t + -2r2t + 2r4 + -3t2) = 0

Combine like terms: 3r2t + -2r2t = 1r2t
(1r2t + 2r4 + -3t2) = 0

Solving
1r2t + 2r4 + -3t2 = 0

Solving for variable 'r'.

Factor a trinomial.
(r2 + -1t)(2r2 + 3t) = 0


Subproblem 1
Set the factor '(r2 + -1t)' equal to zero and attempt to solve:

Simplifying
r2 + -1t = 0

Solving
r2 + -1t = 0

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

Add 't' to each side of the equation.
r2 + -1t + t = 0 + t

Combine like terms: -1t + t = 0
r2 + 0 = 0 + t
r2 = 0 + t
Remove the zero:
r2 = t

Simplifying
r2 = 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 '(2r2 + 3t)' equal to zero and attempt to solve:

Simplifying
2r2 + 3t = 0

Solving
2r2 + 3t = 0

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

Add '-3t' to each side of the equation.
2r2 + 3t + -3t = 0 + -3t

Combine like terms: 3t + -3t = 0
2r2 + 0 = 0 + -3t
2r2 = 0 + -3t
Remove the zero:
2r2 = -3t

Divide each side by '2'.
r2 = -1.5t

Simplifying
r2 = -1.5t

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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