161=16t^2+32t^2

Solution for 161=16t^2+32t^2 equation:

Simplifying
161 = 16t2 + 32t2

Combine like terms: 16t2 + 32t2 = 48t2
161 = 48t2

Solving
161 = 48t2

Solving for variable 't'.

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

Add '-48t2' to each side of the equation.
161 + -48t2 = 48t2 + -48t2

Combine like terms: 48t2 + -48t2 = 0
161 + -48t2 = 0

Add '-161' to each side of the equation.
161 + -161 + -48t2 = 0 + -161

Combine like terms: 161 + -161 = 0
0 + -48t2 = 0 + -161
-48t2 = 0 + -161

Combine like terms: 0 + -161 = -161
-48t2 = -161

Divide each side by '-48'.
t2 = 3.354166667

Simplifying
t2 = 3.354166667

Take the square root of each side:
t = {-1.831438415, 1.831438415}