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

Solution for (t+8)(t-6)=0 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.
(-8 + -1t)(6 + -1t) = 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 '(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
Solution
t = {-8, 6}