0=2t^2-13t+21

Solution for 0=2t^2-13t+21 equation:

Simplifying
0 = 2t2 + -13t + 21

Reorder the terms:
0 = 21 + -13t + 2t2

Solving
0 = 21 + -13t + 2t2

Solving for variable 't'.

Combine like terms: 0 + -21 = -21
-21 + 13t + -2t2 = 21 + -13t + 2t2 + -21 + 13t + -2t2

Reorder the terms:
-21 + 13t + -2t2 = 21 + -21 + -13t + 13t + 2t2 + -2t2

Combine like terms: 21 + -21 = 0
-21 + 13t + -2t2 = 0 + -13t + 13t + 2t2 + -2t2
-21 + 13t + -2t2 = -13t + 13t + 2t2 + -2t2

Combine like terms: -13t + 13t = 0
-21 + 13t + -2t2 = 0 + 2t2 + -2t2
-21 + 13t + -2t2 = 2t2 + -2t2

Combine like terms: 2t2 + -2t2 = 0
-21 + 13t + -2t2 = 0

Factor a trinomial.
(-7 + 2t)(3 + -1t) = 0

Subproblem 1
Set the factor '(-7 + 2t)' equal to zero and attempt to solve:

Simplifying
-7 + 2t = 0

Solving
-7 + 2t = 0

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

Add '7' to each side of the equation.
-7 + 7 + 2t = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 2t = 0 + 7
2t = 0 + 7

Combine like terms: 0 + 7 = 7
2t = 7

Divide each side by '2'.
t = 3.5

Simplifying
t = 3.5
Subproblem 2
Set the factor '(3 + -1t)' equal to zero and attempt to solve:

Simplifying
3 + -1t = 0

Solving
3 + -1t = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1t = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1t = 0 + -3
-1t = 0 + -3

Combine like terms: 0 + -3 = -3
-1t = -3

Divide each side by '-1'.
t = 3

Simplifying
t = 3
Solution
t = {3.5, 3}