32=32+16t+16t^2

Solution for 32=32+16t+16t^2 equation:

Simplifying
32 = 32 + 16t + 16t2

Add '-32' to each side of the equation.
32 + -32 = 32 + 16t + -32 + 16t2

Combine like terms: 32 + -32 = 0
0 = 32 + 16t + -32 + 16t2

Reorder the terms:
0 = 32 + -32 + 16t + 16t2

Combine like terms: 32 + -32 = 0
0 = 0 + 16t + 16t2
0 = 16t + 16t2

Solving
0 = 16t + 16t2

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

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

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

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

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

Ignore the factor -16.
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 '(1 + t)' equal to zero and attempt to solve:

Simplifying
1 + t = 0

Solving
1 + t = 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 + t = 0 + -1

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

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

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