10=2t^2-21t+64

Solution for 10=2t^2-21t+64 equation:

Simplifying
10 = 2t2 + -21t + 64

Reorder the terms:
10 = 64 + -21t + 2t2

Solving
10 = 64 + -21t + 2t2

Solving for variable 't'.

Combine like terms: 10 + -64 = -54
-54 + 21t + -2t2 = 64 + -21t + 2t2 + -64 + 21t + -2t2

Reorder the terms:
-54 + 21t + -2t2 = 64 + -64 + -21t + 21t + 2t2 + -2t2

Combine like terms: 64 + -64 = 0
-54 + 21t + -2t2 = 0 + -21t + 21t + 2t2 + -2t2
-54 + 21t + -2t2 = -21t + 21t + 2t2 + -2t2

Combine like terms: -21t + 21t = 0
-54 + 21t + -2t2 = 0 + 2t2 + -2t2
-54 + 21t + -2t2 = 2t2 + -2t2

Combine like terms: 2t2 + -2t2 = 0
-54 + 21t + -2t2 = 0

Factor a trinomial.
(-6 + t)(9 + -2t) = 0

Subproblem 1
Set the factor '(-6 + t)' equal to zero and attempt to solve:

Simplifying
-6 + t = 0

Solving
-6 + t = 0

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

Add '6' to each side of the equation.
-6 + 6 + t = 0 + 6

Combine like terms: -6 + 6 = 0
0 + t = 0 + 6
t = 0 + 6

Combine like terms: 0 + 6 = 6
t = 6

Simplifying
t = 6
Subproblem 2
Set the factor '(9 + -2t)' equal to zero and attempt to solve:

Simplifying
9 + -2t = 0

Solving
9 + -2t = 0

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

Add '-9' to each side of the equation.
9 + -9 + -2t = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -2t = 0 + -9
-2t = 0 + -9

Combine like terms: 0 + -9 = -9
-2t = -9

Divide each side by '-2'.
t = 4.5

Simplifying
t = 4.5
Solution
t = {6, 4.5}