(t+6)(t-4)=

Solution for (t+6)(t-4)= equation:

Simplifying
(t + 6)(t + -4) = 0

Reorder the terms:
(6 + t)(t + -4) = 0

Reorder the terms:
(6 + t)(-4 + t) = 0

Multiply (6 + t) * (-4 + t)
(6(-4 + t) + t(-4 + t)) = 0
((-4 * 6 + t * 6) + t(-4 + t)) = 0
((-24 + 6t) + t(-4 + t)) = 0
(-24 + 6t + (-4 * t + t * t)) = 0
(-24 + 6t + (-4t + t2)) = 0

Combine like terms: 6t + -4t = 2t
(-24 + 2t + t2) = 0

Solving
-24 + 2t + t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-6 + -1t)(4 + -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 '(4 + -1t)' equal to zero and attempt to solve:

Simplifying
4 + -1t = 0

Solving
4 + -1t = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1t = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1t = 0 + -4
-1t = 0 + -4

Combine like terms: 0 + -4 = -4
-1t = -4

Divide each side by '-1'.
t = 4

Simplifying
t = 4
Solution
t = {-6, 4}