8r^2t^2+2rt^2-15t^2=

Solution for 8r^2t^2+2rt^2-15t^2= equation:

Simplifying
8r2t2 + 2rt2 + -15t2 = 0

Reorder the terms:
2rt2 + 8r2t2 + -15t2 = 0

Solving
2rt2 + 8r2t2 + -15t2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), 't2'.
t2(2r + 8r2 + -15) = 0

Factor a trinomial.
t2((4r + -5)(2r + 3)) = 0

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

Simplifying
t2 = 0

Solving
t2 = 0

Move all terms containing r 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 '(4r + -5)' equal to zero and attempt to solve:

Simplifying
4r + -5 = 0

Reorder the terms:
-5 + 4r = 0

Solving
-5 + 4r = 0

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

Add '5' to each side of the equation.
-5 + 5 + 4r = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 4r = 0 + 5
4r = 0 + 5

Combine like terms: 0 + 5 = 5
4r = 5

Divide each side by '4'.
r = 1.25

Simplifying
r = 1.25
Subproblem 3
Set the factor '(2r + 3)' equal to zero and attempt to solve:

Simplifying
2r + 3 = 0

Reorder the terms:
3 + 2r = 0

Solving
3 + 2r = 0

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

Add '-3' to each side of the equation.
3 + -3 + 2r = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2r = 0 + -3
2r = 0 + -3

Combine like terms: 0 + -3 = -3
2r = -3

Divide each side by '2'.
r = -1.5

Simplifying
r = -1.5
Solution
r = {1.25, -1.5}