4.9t^2-15t+30=0

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Solution for 4.9t^2-15t+30=0 equation:


Simplifying
4.9t2 + -15t + 30 = 0

Reorder the terms:
30 + -15t + 4.9t2 = 0

Solving
30 + -15t + 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'.
6.12244898 + -3.06122449t + t2 = 0

Move the constant term to the right:

Add '-6.12244898' to each side of the equation.
6.12244898 + -3.06122449t + -6.12244898 + t2 = 0 + -6.12244898

Reorder the terms:
6.12244898 + -6.12244898 + -3.06122449t + t2 = 0 + -6.12244898

Combine like terms: 6.12244898 + -6.12244898 = 0.00000000
0.00000000 + -3.06122449t + t2 = 0 + -6.12244898
-3.06122449t + t2 = 0 + -6.12244898

Combine like terms: 0 + -6.12244898 = -6.12244898
-3.06122449t + t2 = -6.12244898

The t term is -3.06122449t.  Take half its coefficient (-1.530612245).
Square it (2.342773845) and add it to both sides.

Add '2.342773845' to each side of the equation.
-3.06122449t + 2.342773845 + t2 = -6.12244898 + 2.342773845

Reorder the terms:
2.342773845 + -3.06122449t + t2 = -6.12244898 + 2.342773845

Combine like terms: -6.12244898 + 2.342773845 = -3.779675135
2.342773845 + -3.06122449t + t2 = -3.779675135

Factor a perfect square on the left side:
(t + -1.530612245)(t + -1.530612245) = -3.779675135

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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