16=t(t-6)

Solution for 16=t(t-6) equation:

Simplifying
16 = t(t + -6)

Reorder the terms:
16 = t(-6 + t)
16 = (-6 * t + t * t)
16 = (-6t + t2)

Solving
16 = -6t + t2

Solving for variable 't'.

Reorder the terms:
16 + 6t + -1t2 = -6t + 6t + t2 + -1t2

Combine like terms: -6t + 6t = 0
16 + 6t + -1t2 = 0 + t2 + -1t2
16 + 6t + -1t2 = t2 + -1t2

Combine like terms: t2 + -1t2 = 0
16 + 6t + -1t2 = 0

Factor a trinomial.
(8 + -1t)(2 + t) = 0

Subproblem 1
Set the factor '(8 + -1t)' equal to zero and attempt to solve:

Simplifying
8 + -1t = 0

Solving
8 + -1t = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1t = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1t = 0 + -8
-1t = 0 + -8

Combine like terms: 0 + -8 = -8
-1t = -8

Divide each side by '-1'.
t = 8

Simplifying
t = 8
Subproblem 2
Set the factor '(2 + t)' equal to zero and attempt to solve:

Simplifying
2 + t = 0

Solving
2 + t = 0

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

Add '-2' to each side of the equation.
2 + -2 + t = 0 + -2

Combine like terms: 2 + -2 = 0
0 + t = 0 + -2
t = 0 + -2

Combine like terms: 0 + -2 = -2
t = -2

Simplifying
t = -2
Solution
t = {8, -2}