3t^2-56t+196=0

Solution for 3t^2-56t+196=0 equation:

Simplifying
3t2 + -56t + 196 = 0

Reorder the terms:
196 + -56t + 3t2 = 0

Solving
196 + -56t + 3t2 = 0

Solving for variable 't'.

Factor a trinomial.
(14 + -3t)(14 + -1t) = 0

Subproblem 1
Set the factor '(14 + -3t)' equal to zero and attempt to solve:

Simplifying
14 + -3t = 0

Solving
14 + -3t = 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 + -3t = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -3t = 0 + -14
-3t = 0 + -14

Combine like terms: 0 + -14 = -14
-3t = -14

Divide each side by '-3'.
t = 4.666666667

Simplifying
t = 4.666666667
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 = {4.666666667, 14}