5T^2-200=45

Solution for 5T^2-200=45 equation:

Simplifying
5T2 + -200 = 45

Reorder the terms:
-200 + 5T2 = 45

Solving
-200 + 5T2 = 45

Solving for variable 'T'.

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

Add '200' to each side of the equation.
-200 + 200 + 5T2 = 45 + 200

Combine like terms: -200 + 200 = 0
0 + 5T2 = 45 + 200
5T2 = 45 + 200

Combine like terms: 45 + 200 = 245
5T2 = 245

Divide each side by '5'.
T2 = 49

Simplifying
T2 = 49

Take the square root of each side:
T = {-7, 7}