-4.9t^2+5.0t-40=0

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Solution for -4.9t^2+5.0t-40=0 equation: 


Simplifying
-4.9t2 + 5.0t + -40 = 0

Reorder the terms:
-40 + 5.0t + -4.9t2 = 0

Solving
-40 + 5.0t + -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'.
8.163265306 + -1.020408163t + t2 = 0

Move the constant term to the right:

Add '-8.163265306' to each side of the equation.
8.163265306 + -1.020408163t + -8.163265306 + t2 = 0 + -8.163265306

Reorder the terms:
8.163265306 + -8.163265306 + -1.020408163t + t2 = 0 + -8.163265306

Combine like terms: 8.163265306 + -8.163265306 = 0.000000000
0.000000000 + -1.020408163t + t2 = 0 + -8.163265306
-1.020408163t + t2 = 0 + -8.163265306

Combine like terms: 0 + -8.163265306 = -8.163265306
-1.020408163t + t2 = -8.163265306

The t term is -1.020408163t.  Take half its coefficient (-0.5102040815).
Square it (0.2603082048) and add it to both sides.

Add '0.2603082048' to each side of the equation.
-1.020408163t + 0.2603082048 + t2 = -8.163265306 + 0.2603082048

Reorder the terms:
0.2603082048 + -1.020408163t + t2 = -8.163265306 + 0.2603082048

Combine like terms: -8.163265306 + 0.2603082048 = -7.9029571012
0.2603082048 + -1.020408163t + t2 = -7.9029571012

Factor a perfect square on the left side:
(t + -0.5102040815)(t + -0.5102040815) = -7.9029571012

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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