10t^9-10t^11=0

Solution for 10t^9-10t^11=0 equation:

Simplifying
10t9 + -10t11 = 0

Solving
10t9 + -10t11 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '10t9'.
10t9(1 + -1t2) = 0

Factor a difference between two squares.
10t9((1 + t)(1 + -1t)) = 0

Ignore the factor 10.
Subproblem 1
Set the factor 't9' equal to zero and attempt to solve:

Simplifying
t9 = 0

Solving
t9 = 0

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

Simplifying
t9 = 0

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

Simplifying
1 + t = 0

Solving
1 + t = 0

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

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

Combine like terms: 1 + -1 = 0
0 + t = 0 + -1
t = 0 + -1

Combine like terms: 0 + -1 = -1
t = -1

Simplifying
t = -1
Subproblem 3
Set the factor '(1 + -1t)' equal to zero and attempt to solve:

Simplifying
1 + -1t = 0

Solving
1 + -1t = 0

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

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

Combine like terms: 1 + -1 = 0
0 + -1t = 0 + -1
-1t = 0 + -1

Combine like terms: 0 + -1 = -1
-1t = -1

Divide each side by '-1'.
t = 1

Simplifying
t = 1
Solution
t = {-1, 1}