-9(t^2+13)(t^2-7)=0

Solution for -9(t^2+13)(t^2-7)=0 equation:

Simplifying
-9(t2 + 13)(t2 + -7) = 0

Reorder the terms:
-9(13 + t2)(t2 + -7) = 0

Reorder the terms:
-9(13 + t2)(-7 + t2) = 0

Multiply (13 + t2) * (-7 + t2)
-9(13(-7 + t2) + t2(-7 + t2)) = 0
-9((-7 * 13 + t2 * 13) + t2(-7 + t2)) = 0
-9((-91 + 13t2) + t2(-7 + t2)) = 0
-9(-91 + 13t2 + (-7 * t2 + t2 * t2)) = 0
-9(-91 + 13t2 + (-7t2 + t4)) = 0

Combine like terms: 13t2 + -7t2 = 6t2
-9(-91 + 6t2 + t4) = 0
(-91 * -9 + 6t2 * -9 + t4 * -9) = 0
(819 + -54t2 + -9t4) = 0

Solving
819 + -54t2 + -9t4 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '9'.
9(91 + -6t2 + -1t4) = 0

Factor a trinomial.
9((7 + -1t2)(13 + t2)) = 0

Ignore the factor 9.
Subproblem 1
Set the factor '(7 + -1t2)' equal to zero and attempt to solve:

Simplifying
7 + -1t2 = 0

Solving
7 + -1t2 = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1t2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1t2 = 0 + -7
-1t2 = 0 + -7

Combine like terms: 0 + -7 = -7
-1t2 = -7

Divide each side by '-1'.
t2 = 7

Simplifying
t2 = 7

Take the square root of each side:
t = {-2.645751311, 2.645751311}
Subproblem 2
Set the factor '(13 + t2)' equal to zero and attempt to solve:

Simplifying
13 + t2 = 0

Solving
13 + t2 = 0

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

Add '-13' to each side of the equation.
13 + -13 + t2 = 0 + -13

Combine like terms: 13 + -13 = 0
0 + t2 = 0 + -13
t2 = 0 + -13

Combine like terms: 0 + -13 = -13
t2 = -13

Simplifying
t2 = -13

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
t = {-2.645751311, 2.645751311}