47=5t^2+2

Solution for 47=5t^2+2 equation:

Simplifying
47 = 5t2 + 2

Reorder the terms:
47 = 2 + 5t2

Solving
47 = 2 + 5t2

Solving for variable 't'.

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

Add '-5t2' to each side of the equation.
47 + -5t2 = 2 + 5t2 + -5t2

Combine like terms: 5t2 + -5t2 = 0
47 + -5t2 = 2 + 0
47 + -5t2 = 2

Add '-47' to each side of the equation.
47 + -47 + -5t2 = 2 + -47

Combine like terms: 47 + -47 = 0
0 + -5t2 = 2 + -47
-5t2 = 2 + -47

Combine like terms: 2 + -47 = -45
-5t2 = -45

Divide each side by '-5'.
t2 = 9

Simplifying
t2 = 9

Take the square root of each side:
t = {-3, 3}