-2t^2+2t+924=0

Solution for -2t^2+2t+924=0 equation:

Simplifying
-2t2 + 2t + 924 = 0

Reorder the terms:
924 + 2t + -2t2 = 0

Solving
924 + 2t + -2t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '2'.
2(462 + t + -1t2) = 0

Factor a trinomial.
2((22 + -1t)(21 + t)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(22 + -1t)' equal to zero and attempt to solve:

Simplifying
22 + -1t = 0

Solving
22 + -1t = 0

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

Add '-22' to each side of the equation.
22 + -22 + -1t = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -1t = 0 + -22
-1t = 0 + -22

Combine like terms: 0 + -22 = -22
-1t = -22

Divide each side by '-1'.
t = 22

Simplifying
t = 22
Subproblem 2
Set the factor '(21 + t)' equal to zero and attempt to solve:

Simplifying
21 + t = 0

Solving
21 + t = 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 + t = 0 + -21

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

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

Simplifying
t = -21
Solution
t = {22, -21}