(t-11)(t-6)=

Solution for (t-11)(t-6)= equation:

Simplifying
(t + -11)(t + -6) = 0

Reorder the terms:
(-11 + t)(t + -6) = 0

Reorder the terms:
(-11 + t)(-6 + t) = 0

Multiply (-11 + t) * (-6 + t)
(-11(-6 + t) + t(-6 + t)) = 0
((-6 * -11 + t * -11) + t(-6 + t)) = 0
((66 + -11t) + t(-6 + t)) = 0
(66 + -11t + (-6 * t + t * t)) = 0
(66 + -11t + (-6t + t2)) = 0

Combine like terms: -11t + -6t = -17t
(66 + -17t + t2) = 0

Solving
66 + -17t + t2 = 0

Solving for variable 't'.

Factor a trinomial.
(6 + -1t)(11 + -1t) = 0

Subproblem 1
Set the factor '(6 + -1t)' equal to zero and attempt to solve:

Simplifying
6 + -1t = 0

Solving
6 + -1t = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1t = 0 + -6

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

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

Divide each side by '-1'.
t = 6

Simplifying
t = 6
Subproblem 2
Set the factor '(11 + -1t)' equal to zero and attempt to solve:

Simplifying
11 + -1t = 0

Solving
11 + -1t = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1t = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1t = 0 + -11
-1t = 0 + -11

Combine like terms: 0 + -11 = -11
-1t = -11

Divide each side by '-1'.
t = 11

Simplifying
t = 11
Solution
t = {6, 11}