161=16t^2+32

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


Simplifying
161 = 16t2 + 32

Reorder the terms:
161 = 32 + 16t2

Solving
161 = 32 + 16t2

Solving for variable 't'.

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

Add '-16t2' to each side of the equation.
161 + -16t2 = 32 + 16t2 + -16t2

Combine like terms: 16t2 + -16t2 = 0
161 + -16t2 = 32 + 0
161 + -16t2 = 32

Add '-161' to each side of the equation.
161 + -161 + -16t2 = 32 + -161

Combine like terms: 161 + -161 = 0
0 + -16t2 = 32 + -161
-16t2 = 32 + -161

Combine like terms: 32 + -161 = -129
-16t2 = -129

Divide each side by '-16'.
t2 = 8.0625

Simplifying
t2 = 8.0625

Take the square root of each side:
t = {-2.839454173, 2.839454173}

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