48=-16t^2+96

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Solution for 48=-16t^2+96 equation:


Simplifying
48 = -16t2 + 96

Reorder the terms:
48 = 96 + -16t2

Solving
48 = 96 + -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.
48 + 16t2 = 96 + -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
48 + 16t2 = 96 + 0
48 + 16t2 = 96

Add '-48' to each side of the equation.
48 + -48 + 16t2 = 96 + -48

Combine like terms: 48 + -48 = 0
0 + 16t2 = 96 + -48
16t2 = 96 + -48

Combine like terms: 96 + -48 = 48
16t2 = 48

Divide each side by '16'.
t2 = 3

Simplifying
t2 = 3

Take the square root of each side:
t = {-1.732050808, 1.732050808}

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