t(t+8)(t-9)=0

Solution for t(t+8)(t-9)=0 equation:

Simplifying
t(t + 8)(t + -9) = 0

Reorder the terms:
t(8 + t)(t + -9) = 0

Reorder the terms:
t(8 + t)(-9 + t) = 0

Multiply (8 + t) * (-9 + t)
t(8(-9 + t) + t(-9 + t)) = 0
t((-9 * 8 + t * 8) + t(-9 + t)) = 0
t((-72 + 8t) + t(-9 + t)) = 0
t(-72 + 8t + (-9 * t + t * t)) = 0
t(-72 + 8t + (-9t + t2)) = 0

Combine like terms: 8t + -9t = -1t
t(-72 + -1t + t2) = 0
(-72 * t + -1t * t + t2 * t) = 0
(-72t + -1t2 + t3) = 0

Solving
-72t + -1t2 + t3 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't'.
t(-72 + -1t + t2) = 0

Factor a trinomial.
t((-8 + -1t)(9 + -1t)) = 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 '(-8 + -1t)' equal to zero and attempt to solve:

Simplifying
-8 + -1t = 0

Solving
-8 + -1t = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1t = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1t = 0 + 8
-1t = 0 + 8

Combine like terms: 0 + 8 = 8
-1t = 8

Divide each side by '-1'.
t = -8

Simplifying
t = -8
Subproblem 3
Set the factor '(9 + -1t)' equal to zero and attempt to solve:

Simplifying
9 + -1t = 0

Solving
9 + -1t = 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 + -1t = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1t = 0 + -9
-1t = 0 + -9

Combine like terms: 0 + -9 = -9
-1t = -9

Divide each side by '-1'.
t = 9

Simplifying
t = 9
Solution
t = {0, -8, 9}