96=t-16t^2

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


Simplifying
96 = t + -16t2

Solving
96 = t + -16t2

Solving for variable 't'.

Reorder the terms:
96 + -1t + 16t2 = t + -1t + -16t2 + 16t2

Combine like terms: t + -1t = 0
96 + -1t + 16t2 = 0 + -16t2 + 16t2
96 + -1t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
96 + -1t + 16t2 = 0

Begin completing the square.  Divide all terms by
16 the coefficient of the squared term: 

Divide each side by '16'.
6 + -0.0625t + t2 = 0

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + -0.0625t + -6 + t2 = 0 + -6

Reorder the terms:
6 + -6 + -0.0625t + t2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -0.0625t + t2 = 0 + -6
-0.0625t + t2 = 0 + -6

Combine like terms: 0 + -6 = -6
-0.0625t + t2 = -6

The t term is -0.0625t.  Take half its coefficient (-0.03125).
Square it (0.0009765625) and add it to both sides.

Add '0.0009765625' to each side of the equation.
-0.0625t + 0.0009765625 + t2 = -6 + 0.0009765625

Reorder the terms:
0.0009765625 + -0.0625t + t2 = -6 + 0.0009765625

Combine like terms: -6 + 0.0009765625 = -5.9990234375
0.0009765625 + -0.0625t + t2 = -5.9990234375

Factor a perfect square on the left side:
(t + -0.03125)(t + -0.03125) = -5.9990234375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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