0=5t^2+80t

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Solution for 0=5t^2+80t equation: 


Simplifying
0 = 5t2 + 80t

Reorder the terms:
0 = 80t + 5t2

Solving
0 = 80t + 5t2

Solving for variable 't'.
Remove the zero:
-80t + -5t2 = 80t + 5t2 + -80t + -5t2

Reorder the terms:
-80t + -5t2 = 80t + -80t + 5t2 + -5t2

Combine like terms: 80t + -80t = 0
-80t + -5t2 = 0 + 5t2 + -5t2
-80t + -5t2 = 5t2 + -5t2

Combine like terms: 5t2 + -5t2 = 0
-80t + -5t2 = 0

Factor out the Greatest Common Factor (GCF), '-5t'.
-5t(16 + t) = 0

Ignore the factor -5.

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 '(16 + t)' equal to zero and attempt to solve:

Simplifying
16 + t = 0

Solving
16 + t = 0

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

Add '-16' to each side of the equation.
16 + -16 + t = 0 + -16

Combine like terms: 16 + -16 = 0
0 + t = 0 + -16
t = 0 + -16

Combine like terms: 0 + -16 = -16
t = -16

Simplifying
t = -16
Solution
t = {0, -16}

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