t^2+2t-224=0

Solution for t^2+2t-224=0 equation:

Simplifying
t2 + 2t + -224 = 0

Reorder the terms:
-224 + 2t + t2 = 0

Solving
-224 + 2t + t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-16 + -1t)(14 + -1t) = 0

Subproblem 1
Set the factor '(-16 + -1t)' equal to zero and attempt to solve:

Simplifying
-16 + -1t = 0

Solving
-16 + -1t = 0

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

Add '16' to each side of the equation.
-16 + 16 + -1t = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -1t = 0 + 16
-1t = 0 + 16

Combine like terms: 0 + 16 = 16
-1t = 16

Divide each side by '-1'.
t = -16

Simplifying
t = -16
Subproblem 2
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
Solution
t = {-16, 14}