(t-8)(t+6)=

Solution for (t-8)(t+6)= equation:

Simplifying
(t + -8)(t + 6) = 0

Reorder the terms:
(-8 + t)(t + 6) = 0

Reorder the terms:
(-8 + t)(6 + t) = 0

Multiply (-8 + t) * (6 + t)
(-8(6 + t) + t(6 + t)) = 0
((6 * -8 + t * -8) + t(6 + t)) = 0
((-48 + -8t) + t(6 + t)) = 0
(-48 + -8t + (6 * t + t * t)) = 0
(-48 + -8t + (6t + t2)) = 0

Combine like terms: -8t + 6t = -2t
(-48 + -2t + t2) = 0

Solving
-48 + -2t + t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-6 + -1t)(8 + -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 '(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
Solution
t = {-6, 8}