t^2-51t+98=0

Solution for t^2-51t+98=0 equation:

Simplifying
t2 + -51t + 98 = 0

Reorder the terms:
98 + -51t + t2 = 0

Solving
98 + -51t + t2 = 0

Solving for variable 't'.

Factor a trinomial.
(2 + -1t)(49 + -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 '(49 + -1t)' equal to zero and attempt to solve:

Simplifying
49 + -1t = 0

Solving
49 + -1t = 0

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

Add '-49' to each side of the equation.
49 + -49 + -1t = 0 + -49

Combine like terms: 49 + -49 = 0
0 + -1t = 0 + -49
-1t = 0 + -49

Combine like terms: 0 + -49 = -49
-1t = -49

Divide each side by '-1'.
t = 49

Simplifying
t = 49
Solution
t = {2, 49}