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((-5 + -1t)(18 + -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 '(-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

Subproblem 3
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
Solution
t = {0, -5, 18}

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