t^2+8t+16t=0

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Solution for t^2+8t+16t=0 equation: 


Simplifying
t2 + 8t + 16t = 0

Reorder the terms:
8t + 16t + t2 = 0

Combine like terms: 8t + 16t = 24t
24t + t2 = 0

Solving
24t + t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't'.
t(24 + t) = 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 '(24 + t)' equal to zero and attempt to solve:

Simplifying
24 + t = 0

Solving
24 + t = 0

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

Add '-24' to each side of the equation.
24 + -24 + t = 0 + -24

Combine like terms: 24 + -24 = 0
0 + t = 0 + -24
t = 0 + -24

Combine like terms: 0 + -24 = -24
t = -24

Simplifying
t = -24
Solution
t = {0, -24}

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