t^2-7t-294=0

Solution for t^2-7t-294=0 equation:

Simplifying
t2 + -7t + -294 = 0

Reorder the terms:
-294 + -7t + t2 = 0

Solving
-294 + -7t + t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-14 + -1t)(21 + -1t) = 0

Subproblem 1
Set the factor '(-14 + -1t)' equal to zero and attempt to solve:

Simplifying
-14 + -1t = 0

Solving
-14 + -1t = 0

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

Add '14' to each side of the equation.
-14 + 14 + -1t = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -1t = 0 + 14
-1t = 0 + 14

Combine like terms: 0 + 14 = 14
-1t = 14

Divide each side by '-1'.
t = -14

Simplifying
t = -14
Subproblem 2
Set the factor '(21 + -1t)' equal to zero and attempt to solve:

Simplifying
21 + -1t = 0

Solving
21 + -1t = 0

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

Add '-21' to each side of the equation.
21 + -21 + -1t = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -1t = 0 + -21
-1t = 0 + -21

Combine like terms: 0 + -21 = -21
-1t = -21

Divide each side by '-1'.
t = 21

Simplifying
t = 21
Solution
t = {-14, 21}