-t^3+5t+36t=0

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Solution for -t^3+5t+36t=0 equation: 


Simplifying
-1t3 + 5t + 36t = 0

Reorder the terms:
5t + 36t + -1t3 = 0

Combine like terms: 5t + 36t = 41t
41t + -1t3 = 0

Solving
41t + -1t3 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't'.
t(41 + -1t2) = 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 '(41 + -1t2)' equal to zero and attempt to solve:

Simplifying
41 + -1t2 = 0

Solving
41 + -1t2 = 0

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

Add '-41' to each side of the equation.
41 + -41 + -1t2 = 0 + -41

Combine like terms: 41 + -41 = 0
0 + -1t2 = 0 + -41
-1t2 = 0 + -41

Combine like terms: 0 + -41 = -41
-1t2 = -41

Divide each side by '-1'.
t2 = 41

Simplifying
t2 = 41

Take the square root of each side:
t = {-6.403124237, 6.403124237}
Solution
t = {0, -6.403124237, 6.403124237}

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