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

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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 + t + t2) = 0

Factor a trinomial.
t((-9 + -1t)(8 + -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 '(-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

Subproblem 3
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
Solution
t = {0, -9, 8}

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