167=-16t^2+72t

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Solution for 167=-16t^2+72t equation:


Simplifying
167 = -16t2 + 72t

Reorder the terms:
167 = 72t + -16t2

Solving
167 = 72t + -16t2

Solving for variable 't'.

Reorder the terms:
167 + -72t + 16t2 = 72t + -72t + -16t2 + 16t2

Combine like terms: 72t + -72t = 0
167 + -72t + 16t2 = 0 + -16t2 + 16t2
167 + -72t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
167 + -72t + 16t2 = 0

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

Divide each side by '16'.
10.4375 + -4.5t + t2 = 0

Move the constant term to the right:

Add '-10.4375' to each side of the equation.
10.4375 + -4.5t + -10.4375 + t2 = 0 + -10.4375

Reorder the terms:
10.4375 + -10.4375 + -4.5t + t2 = 0 + -10.4375

Combine like terms: 10.4375 + -10.4375 = 0.0000
0.0000 + -4.5t + t2 = 0 + -10.4375
-4.5t + t2 = 0 + -10.4375

Combine like terms: 0 + -10.4375 = -10.4375
-4.5t + t2 = -10.4375

The t term is -4.5t.  Take half its coefficient (-2.25).
Square it (5.0625) and add it to both sides.

Add '5.0625' to each side of the equation.
-4.5t + 5.0625 + t2 = -10.4375 + 5.0625

Reorder the terms:
5.0625 + -4.5t + t2 = -10.4375 + 5.0625

Combine like terms: -10.4375 + 5.0625 = -5.375
5.0625 + -4.5t + t2 = -5.375

Factor a perfect square on the left side:
(t + -2.25)(t + -2.25) = -5.375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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