=t^2-4t-32

Solution for =t^2-4t-32 equation:

Simplifying
0 = t2 + -4t + -32

Reorder the terms:
0 = -32 + -4t + t2

Solving
0 = -32 + -4t + t2

Solving for variable 't'.

Combine like terms: 0 + 32 = 32
32 + 4t + -1t2 = -32 + -4t + t2 + 32 + 4t + -1t2

Reorder the terms:
32 + 4t + -1t2 = -32 + 32 + -4t + 4t + t2 + -1t2

Combine like terms: -32 + 32 = 0
32 + 4t + -1t2 = 0 + -4t + 4t + t2 + -1t2
32 + 4t + -1t2 = -4t + 4t + t2 + -1t2

Combine like terms: -4t + 4t = 0
32 + 4t + -1t2 = 0 + t2 + -1t2
32 + 4t + -1t2 = t2 + -1t2

Combine like terms: t2 + -1t2 = 0
32 + 4t + -1t2 = 0

Factor a trinomial.
(8 + -1t)(4 + t) = 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 '(4 + t)' equal to zero and attempt to solve:

Simplifying
4 + t = 0

Solving
4 + t = 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 + t = 0 + -4

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

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

Simplifying
t = -4
Solution
t = {8, -4}