4.9t^2+1.5t+41=0

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Solution for 4.9t^2+1.5t+41=0 equation:


Simplifying
4.9t2 + 1.5t + 41 = 0

Reorder the terms:
41 + 1.5t + 4.9t2 = 0

Solving
41 + 1.5t + 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'.
8.367346939 + 0.306122449t + t2 = 0

Move the constant term to the right:

Add '-8.367346939' to each side of the equation.
8.367346939 + 0.306122449t + -8.367346939 + t2 = 0 + -8.367346939

Reorder the terms:
8.367346939 + -8.367346939 + 0.306122449t + t2 = 0 + -8.367346939

Combine like terms: 8.367346939 + -8.367346939 = 0.000000000
0.000000000 + 0.306122449t + t2 = 0 + -8.367346939
0.306122449t + t2 = 0 + -8.367346939

Combine like terms: 0 + -8.367346939 = -8.367346939
0.306122449t + t2 = -8.367346939

The t term is 0.306122449t.  Take half its coefficient (0.1530612245).
Square it (0.02342773845) and add it to both sides.

Add '0.02342773845' to each side of the equation.
0.306122449t + 0.02342773845 + t2 = -8.367346939 + 0.02342773845

Reorder the terms:
0.02342773845 + 0.306122449t + t2 = -8.367346939 + 0.02342773845

Combine like terms: -8.367346939 + 0.02342773845 = -8.34391920055
0.02342773845 + 0.306122449t + t2 = -8.34391920055

Factor a perfect square on the left side:
(t + 0.1530612245)(t + 0.1530612245) = -8.34391920055

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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