48=5t^2+3

Solution for 48=5t^2+3 equation:

Simplifying
48 = 5t2 + 3

Reorder the terms:
48 = 3 + 5t2

Solving
48 = 3 + 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.
48 + -5t2 = 3 + 5t2 + -5t2

Combine like terms: 5t2 + -5t2 = 0
48 + -5t2 = 3 + 0
48 + -5t2 = 3

Add '-48' to each side of the equation.
48 + -48 + -5t2 = 3 + -48

Combine like terms: 48 + -48 = 0
0 + -5t2 = 3 + -48
-5t2 = 3 + -48

Combine like terms: 3 + -48 = -45
-5t2 = -45

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

Simplifying
t2 = 9

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