=16t+t^2

Solution for =16t+t^2 equation:

Simplifying
0 = 16t + t2

Solving
0 = 16t + t2

Solving for variable 't'.
Remove the zero:
-16t + -1t2 = 16t + t2 + -16t + -1t2

Reorder the terms:
-16t + -1t2 = 16t + -16t + t2 + -1t2

Combine like terms: 16t + -16t = 0
-16t + -1t2 = 0 + t2 + -1t2
-16t + -1t2 = t2 + -1t2

Combine like terms: t2 + -1t2 = 0
-16t + -1t2 = 0

Factor out the Greatest Common Factor (GCF), '-1t'.
-1t(16 + t) = 0

Ignore the factor -1.
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}