24=-11.6t-4.9t^2

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Solution for 24=-11.6t-4.9t^2 equation: 


Simplifying
24 = -11.6t + -4.9t2

Solving
24 = -11.6t + -4.9t2

Solving for variable 't'.

Reorder the terms:
24 + 11.6t + 4.9t2 = -11.6t + 11.6t + -4.9t2 + 4.9t2

Combine like terms: -11.6t + 11.6t = 0.0
24 + 11.6t + 4.9t2 = 0.0 + -4.9t2 + 4.9t2
24 + 11.6t + 4.9t2 = -4.9t2 + 4.9t2

Combine like terms: -4.9t2 + 4.9t2 = 0.0
24 + 11.6t + 4.9t2 = 0.0

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

Divide each side by '4.9'.
4.897959184 + 2.367346939t + t2 = 0

Move the constant term to the right:

Add '-4.897959184' to each side of the equation.
4.897959184 + 2.367346939t + -4.897959184 + t2 = 0 + -4.897959184

Reorder the terms:
4.897959184 + -4.897959184 + 2.367346939t + t2 = 0 + -4.897959184

Combine like terms: 4.897959184 + -4.897959184 = 0.000000000
0.000000000 + 2.367346939t + t2 = 0 + -4.897959184
2.367346939t + t2 = 0 + -4.897959184

Combine like terms: 0 + -4.897959184 = -4.897959184
2.367346939t + t2 = -4.897959184

The t term is 2.367346939t.  Take half its coefficient (1.18367347).
Square it (1.401082884) and add it to both sides.

Add '1.401082884' to each side of the equation.
2.367346939t + 1.401082884 + t2 = -4.897959184 + 1.401082884

Reorder the terms:
1.401082884 + 2.367346939t + t2 = -4.897959184 + 1.401082884

Combine like terms: -4.897959184 + 1.401082884 = -3.4968763
1.401082884 + 2.367346939t + t2 = -3.4968763

Factor a perfect square on the left side:
(t + 1.18367347)(t + 1.18367347) = -3.4968763

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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