-4.9t^2-9.8t-73.5=0

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Solution for -4.9t^2-9.8t-73.5=0 equation:


Simplifying
-4.9t2 + -9.8t + -73.5 = 0

Reorder the terms:
-73.5 + -9.8t + -4.9t2 = 0

Solving
-73.5 + -9.8t + -4.9t2 = 0

Solving for variable 't'.

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

Divide each side by '-4.9'.
15 + 2t + t2 = 0

Move the constant term to the right:

Add '-15' to each side of the equation.
15 + 2t + -15 + t2 = 0 + -15

Reorder the terms:
15 + -15 + 2t + t2 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 2t + t2 = 0 + -15
2t + t2 = 0 + -15

Combine like terms: 0 + -15 = -15
2t + t2 = -15

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 = -15 + 1

Reorder the terms:
1 + 2t + t2 = -15 + 1

Combine like terms: -15 + 1 = -14
1 + 2t + t2 = -14

Factor a perfect square on the left side:
(t + 1)(t + 1) = -14

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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