4.9t^2-20t+80=0

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Solution for 4.9t^2-20t+80=0 equation:


Simplifying
4.9t2 + -20t + 80 = 0

Reorder the terms:
80 + -20t + 4.9t2 = 0

Solving
80 + -20t + 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'.
16.32653061 + -4.081632653t + t2 = 0

Move the constant term to the right:

Add '-16.32653061' to each side of the equation.
16.32653061 + -4.081632653t + -16.32653061 + t2 = 0 + -16.32653061

Reorder the terms:
16.32653061 + -16.32653061 + -4.081632653t + t2 = 0 + -16.32653061

Combine like terms: 16.32653061 + -16.32653061 = 0.00000000
0.00000000 + -4.081632653t + t2 = 0 + -16.32653061
-4.081632653t + t2 = 0 + -16.32653061

Combine like terms: 0 + -16.32653061 = -16.32653061
-4.081632653t + t2 = -16.32653061

The t term is -4.081632653t.  Take half its coefficient (-2.040816327).
Square it (4.164931281) and add it to both sides.

Add '4.164931281' to each side of the equation.
-4.081632653t + 4.164931281 + t2 = -16.32653061 + 4.164931281

Reorder the terms:
4.164931281 + -4.081632653t + t2 = -16.32653061 + 4.164931281

Combine like terms: -16.32653061 + 4.164931281 = -12.161599329
4.164931281 + -4.081632653t + t2 = -12.161599329

Factor a perfect square on the left side:
(t + -2.040816327)(t + -2.040816327) = -12.161599329

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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