4.9t^2+2.14t+42=0

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Solution for 4.9t^2+2.14t+42=0 equation:


Simplifying
4.9t2 + 2.14t + 42 = 0

Reorder the terms:
42 + 2.14t + 4.9t2 = 0

Solving
42 + 2.14t + 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'.
8.571428571 + 0.4367346939t + t2 = 0

Move the constant term to the right:

Add '-8.571428571' to each side of the equation.
8.571428571 + 0.4367346939t + -8.571428571 + t2 = 0 + -8.571428571

Reorder the terms:
8.571428571 + -8.571428571 + 0.4367346939t + t2 = 0 + -8.571428571

Combine like terms: 8.571428571 + -8.571428571 = 0.000000000
0.000000000 + 0.4367346939t + t2 = 0 + -8.571428571
0.4367346939t + t2 = 0 + -8.571428571

Combine like terms: 0 + -8.571428571 = -8.571428571
0.4367346939t + t2 = -8.571428571

The t term is 0.4367346939t.  Take half its coefficient (0.218367347).
Square it (0.04768429824) and add it to both sides.

Add '0.04768429824' to each side of the equation.
0.4367346939t + 0.04768429824 + t2 = -8.571428571 + 0.04768429824

Reorder the terms:
0.04768429824 + 0.4367346939t + t2 = -8.571428571 + 0.04768429824

Combine like terms: -8.571428571 + 0.04768429824 = -8.52374427276
0.04768429824 + 0.4367346939t + t2 = -8.52374427276

Factor a perfect square on the left side:
(t + 0.218367347)(t + 0.218367347) = -8.52374427276

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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