t(t-5)(t+18)=0

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Solution for t(t-5)(t+18)=0 equation: 


Simplifying
t(t + -5)(t + 18) = 0

Reorder the terms:
t(-5 + t)(t + 18) = 0

Reorder the terms:
t(-5 + t)(18 + t) = 0

Multiply (-5 + t) * (18 + t)
t(-5(18 + t) + t(18 + t)) = 0
t((18 * -5 + t * -5) + t(18 + t)) = 0
t((-90 + -5t) + t(18 + t)) = 0
t(-90 + -5t + (18 * t + t * t)) = 0
t(-90 + -5t + (18t + t2)) = 0

Combine like terms: -5t + 18t = 13t
t(-90 + 13t + t2) = 0
(-90 * t + 13t * t + t2 * t) = 0
(-90t + 13t2 + t3) = 0

Solving
-90t + 13t2 + t3 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't'.
t(-90 + 13t + t2) = 0

Factor a trinomial.
t((-18 + -1t)(5 + -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 '(-18 + -1t)' equal to zero and attempt to solve:

Simplifying
-18 + -1t = 0

Solving
-18 + -1t = 0

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

Add '18' to each side of the equation.
-18 + 18 + -1t = 0 + 18

Combine like terms: -18 + 18 = 0
0 + -1t = 0 + 18
-1t = 0 + 18

Combine like terms: 0 + 18 = 18
-1t = 18

Divide each side by '-1'.
t = -18

Simplifying
t = -18

Subproblem 3
Set the factor '(5 + -1t)' equal to zero and attempt to solve:

Simplifying
5 + -1t = 0

Solving
5 + -1t = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1t = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1t = 0 + -5
-1t = 0 + -5

Combine like terms: 0 + -5 = -5
-1t = -5

Divide each side by '-1'.
t = 5

Simplifying
t = 5
Solution
t = {0, -18, 5}

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