t^2-30t-64=

Solution for t^2-30t-64= equation:

Simplifying
t2 + -30t + -64 = 0

Reorder the terms:
-64 + -30t + t2 = 0

Solving
-64 + -30t + t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-2 + -1t)(32 + -1t) = 0

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

Simplifying
-2 + -1t = 0

Solving
-2 + -1t = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1t = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1t = 0 + 2
-1t = 0 + 2

Combine like terms: 0 + 2 = 2
-1t = 2

Divide each side by '-1'.
t = -2

Simplifying
t = -2
Subproblem 2
Set the factor '(32 + -1t)' equal to zero and attempt to solve:

Simplifying
32 + -1t = 0

Solving
32 + -1t = 0

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

Add '-32' to each side of the equation.
32 + -32 + -1t = 0 + -32

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

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

Divide each side by '-1'.
t = 32

Simplifying
t = 32
Solution
t = {-2, 32}