(t-10)(t+11)=

Solution for (t-10)(t+11)= equation:

Simplifying
(t + -10)(t + 11) = 0

Reorder the terms:
(-10 + t)(t + 11) = 0

Reorder the terms:
(-10 + t)(11 + t) = 0

Multiply (-10 + t) * (11 + t)
(-10(11 + t) + t(11 + t)) = 0
((11 * -10 + t * -10) + t(11 + t)) = 0
((-110 + -10t) + t(11 + t)) = 0
(-110 + -10t + (11 * t + t * t)) = 0
(-110 + -10t + (11t + t2)) = 0

Combine like terms: -10t + 11t = 1t
(-110 + 1t + t2) = 0

Solving
-110 + 1t + t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-11 + -1t)(10 + -1t) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(10 + -1t)' equal to zero and attempt to solve:

Simplifying
10 + -1t = 0

Solving
10 + -1t = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1t = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1t = 0 + -10
-1t = 0 + -10

Combine like terms: 0 + -10 = -10
-1t = -10

Divide each side by '-1'.
t = 10

Simplifying
t = 10
Solution
t = {-11, 10}