(t+81)(t-1)=

Solution for (t+81)(t-1)= equation:

Simplifying
(t + 81)(t + -1) = 0

Reorder the terms:
(81 + t)(t + -1) = 0

Reorder the terms:
(81 + t)(-1 + t) = 0

Multiply (81 + t) * (-1 + t)
(81(-1 + t) + t(-1 + t)) = 0
((-1 * 81 + t * 81) + t(-1 + t)) = 0
((-81 + 81t) + t(-1 + t)) = 0
(-81 + 81t + (-1 * t + t * t)) = 0
(-81 + 81t + (-1t + t2)) = 0

Combine like terms: 81t + -1t = 80t
(-81 + 80t + t2) = 0

Solving
-81 + 80t + t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-81 + -1t)(1 + -1t) = 0

Subproblem 1
Set the factor '(-81 + -1t)' equal to zero and attempt to solve:

Simplifying
-81 + -1t = 0

Solving
-81 + -1t = 0

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

Add '81' to each side of the equation.
-81 + 81 + -1t = 0 + 81

Combine like terms: -81 + 81 = 0
0 + -1t = 0 + 81
-1t = 0 + 81

Combine like terms: 0 + 81 = 81
-1t = 81

Divide each side by '-1'.
t = -81

Simplifying
t = -81
Subproblem 2
Set the factor '(1 + -1t)' equal to zero and attempt to solve:

Simplifying
1 + -1t = 0

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

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

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

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

Simplifying
t = 1
Solution
t = {-81, 1}