17.5=32t+-16t^2

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Solution for 17.5=32t+-16t^2 equation:


Simplifying
17.5 = 32t + -16t2

Solving
17.5 = 32t + -16t2

Solving for variable 't'.

Reorder the terms:
17.5 + -32t + 16t2 = 32t + -32t + -16t2 + 16t2

Combine like terms: 32t + -32t = 0
17.5 + -32t + 16t2 = 0 + -16t2 + 16t2
17.5 + -32t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
17.5 + -32t + 16t2 = 0

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

Divide each side by '16'.
1.09375 + -2t + t2 = 0

Move the constant term to the right:

Add '-1.09375' to each side of the equation.
1.09375 + -2t + -1.09375 + t2 = 0 + -1.09375

Reorder the terms:
1.09375 + -1.09375 + -2t + t2 = 0 + -1.09375

Combine like terms: 1.09375 + -1.09375 = 0.00000
0.00000 + -2t + t2 = 0 + -1.09375
-2t + t2 = 0 + -1.09375

Combine like terms: 0 + -1.09375 = -1.09375
-2t + t2 = -1.09375

The t term is -2t.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2t + 1 + t2 = -1.09375 + 1

Reorder the terms:
1 + -2t + t2 = -1.09375 + 1

Combine like terms: -1.09375 + 1 = -0.09375
1 + -2t + t2 = -0.09375

Factor a perfect square on the left side:
(t + -1)(t + -1) = -0.09375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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