2t^2-64+45=0

Solution for 2t^2-64+45=0 equation:

Simplifying
2t2 + -64 + 45 = 0

Reorder the terms:
-64 + 45 + 2t2 = 0

Combine like terms: -64 + 45 = -19
-19 + 2t2 = 0

Solving
-19 + 2t2 = 0

Solving for variable 't'.

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

Add '19' to each side of the equation.
-19 + 19 + 2t2 = 0 + 19

Combine like terms: -19 + 19 = 0
0 + 2t2 = 0 + 19
2t2 = 0 + 19

Combine like terms: 0 + 19 = 19
2t2 = 19

Divide each side by '2'.
t2 = 9.5

Simplifying
t2 = 9.5

Take the square root of each side:
t = {-3.082207001, 3.082207001}