t(f)=16f^2+32f

Solution for t(f)=16f^2+32f equation:

Simplifying
t(f) = 16f2 + 32f

Multiply t * f
ft = 16f2 + 32f

Reorder the terms:
ft = 32f + 16f2

Solving
ft = 32f + 16f2

Solving for variable 'f'.

Reorder the terms:
-32f + ft + -16f2 = 32f + 16f2 + -32f + -16f2

Reorder the terms:
-32f + ft + -16f2 = 32f + -32f + 16f2 + -16f2

Combine like terms: 32f + -32f = 0
-32f + ft + -16f2 = 0 + 16f2 + -16f2
-32f + ft + -16f2 = 16f2 + -16f2

Combine like terms: 16f2 + -16f2 = 0
-32f + ft + -16f2 = 0

Factor out the Greatest Common Factor (GCF), 'f'.
f(-32 + t + -16f) = 0

Subproblem 1
Set the factor 'f' equal to zero and attempt to solve:

Simplifying
f = 0

Solving
f = 0

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

Simplifying
f = 0
Subproblem 2
Set the factor '(-32 + t + -16f)' equal to zero and attempt to solve:

Simplifying
-32 + t + -16f = 0

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

Solving
-32 + -16f + t = 0

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

Add '32' to each side of the equation.
-32 + -16f + 32 + t = 0 + 32

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

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

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

Add '-1t' to each side of the equation.
-16f + t + -1t = 32 + -1t

Combine like terms: t + -1t = 0
-16f + 0 = 32 + -1t
-16f = 32 + -1t

Divide each side by '-16'.
f = -2 + 0.0625t

Simplifying
f = -2 + 0.0625t
Solution
f = {0, -2 + 0.0625t}