t(t-1)(5t+9)=0

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Solution for t(t-1)(5t+9)=0 equation: 


Simplifying
t(t + -1)(5t + 9) = 0

Reorder the terms:
t(-1 + t)(5t + 9) = 0

Reorder the terms:
t(-1 + t)(9 + 5t) = 0

Multiply (-1 + t) * (9 + 5t)
t(-1(9 + 5t) + t(9 + 5t)) = 0
t((9 * -1 + 5t * -1) + t(9 + 5t)) = 0
t((-9 + -5t) + t(9 + 5t)) = 0
t(-9 + -5t + (9 * t + 5t * t)) = 0
t(-9 + -5t + (9t + 5t2)) = 0

Combine like terms: -5t + 9t = 4t
t(-9 + 4t + 5t2) = 0
(-9 * t + 4t * t + 5t2 * t) = 0
(-9t + 4t2 + 5t3) = 0

Solving
-9t + 4t2 + 5t3 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't'.
t(-9 + 4t + 5t2) = 0

Factor a trinomial.
t((-9 + -5t)(1 + -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 + -5t)' equal to zero and attempt to solve:

Simplifying
-9 + -5t = 0

Solving
-9 + -5t = 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 + -5t = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -5t = 0 + 9
-5t = 0 + 9

Combine like terms: 0 + 9 = 9
-5t = 9

Divide each side by '-5'.
t = -1.8

Simplifying
t = -1.8

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

Simplifying
1 + -1t = 0

Solving
1 + -1t = 0

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

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

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

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

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

Simplifying
t = 1
Solution
t = {0, -1.8, 1}

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