0=24.5t-16t^2-19.6

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Solution for 0=24.5t-16t^2-19.6 equation:


Simplifying
0 = 24.5t + -16t2 + -19.6

Reorder the terms:
0 = -19.6 + 24.5t + -16t2

Solving
0 = -19.6 + 24.5t + -16t2

Solving for variable 't'.

Combine like terms: 0 + 19.6 = 19.6
19.6 + -24.5t + 16t2 = -19.6 + 24.5t + -16t2 + 19.6 + -24.5t + 16t2

Reorder the terms:
19.6 + -24.5t + 16t2 = -19.6 + 19.6 + 24.5t + -24.5t + -16t2 + 16t2

Combine like terms: -19.6 + 19.6 = 0.0
19.6 + -24.5t + 16t2 = 0.0 + 24.5t + -24.5t + -16t2 + 16t2
19.6 + -24.5t + 16t2 = 24.5t + -24.5t + -16t2 + 16t2

Combine like terms: 24.5t + -24.5t = 0.0
19.6 + -24.5t + 16t2 = 0.0 + -16t2 + 16t2
19.6 + -24.5t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
19.6 + -24.5t + 16t2 = 0

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

Divide each side by '16'.
1.225 + -1.53125t + t2 = 0

Move the constant term to the right:

Add '-1.225' to each side of the equation.
1.225 + -1.53125t + -1.225 + t2 = 0 + -1.225

Reorder the terms:
1.225 + -1.225 + -1.53125t + t2 = 0 + -1.225

Combine like terms: 1.225 + -1.225 = 0.000
0.000 + -1.53125t + t2 = 0 + -1.225
-1.53125t + t2 = 0 + -1.225

Combine like terms: 0 + -1.225 = -1.225
-1.53125t + t2 = -1.225

The t term is -1.53125t.  Take half its coefficient (-0.765625).
Square it (0.5861816406) and add it to both sides.

Add '0.5861816406' to each side of the equation.
-1.53125t + 0.5861816406 + t2 = -1.225 + 0.5861816406

Reorder the terms:
0.5861816406 + -1.53125t + t2 = -1.225 + 0.5861816406

Combine like terms: -1.225 + 0.5861816406 = -0.6388183594
0.5861816406 + -1.53125t + t2 = -0.6388183594

Factor a perfect square on the left side:
(t + -0.765625)(t + -0.765625) = -0.6388183594

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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