t(t-9)=

Solution for t(t-9)= equation:

Simplifying
t(t + -9) = 0

Reorder the terms:
t(-9 + t) = 0
(-9 * t + t * t) = 0
(-9t + t2) = 0

Solving
-9t + t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't'.
t(-9 + t) = 0

Subproblem 1
Set the factor 't' equal to zero and attempt to solve:

Simplifying
t = 0

Solving
t = 0

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

Simplifying
t = 0
Subproblem 2
Set the factor '(-9 + t)' equal to zero and attempt to solve:

Simplifying
-9 + t = 0

Solving
-9 + t = 0

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

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

Combine like terms: -9 + 9 = 0
0 + t = 0 + 9
t = 0 + 9

Combine like terms: 0 + 9 = 9
t = 9

Simplifying
t = 9
Solution
t = {0, 9}