2.5t-4.9t^2=58

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Solution for 2.5t-4.9t^2=58 equation:


Simplifying
2.5t + -4.9t2 = 58

Solving
2.5t + -4.9t2 = 58

Solving for variable 't'.

Reorder the terms:
-58 + 2.5t + -4.9t2 = 58 + -58

Combine like terms: 58 + -58 = 0
-58 + 2.5t + -4.9t2 = 0

Begin completing the square.  Divide all terms by
-4.9 the coefficient of the squared term: 

Divide each side by '-4.9'.
11.83673469 + -0.5102040816t + t2 = 0

Move the constant term to the right:

Add '-11.83673469' to each side of the equation.
11.83673469 + -0.5102040816t + -11.83673469 + t2 = 0 + -11.83673469

Reorder the terms:
11.83673469 + -11.83673469 + -0.5102040816t + t2 = 0 + -11.83673469

Combine like terms: 11.83673469 + -11.83673469 = 0.00000000
0.00000000 + -0.5102040816t + t2 = 0 + -11.83673469
-0.5102040816t + t2 = 0 + -11.83673469

Combine like terms: 0 + -11.83673469 = -11.83673469
-0.5102040816t + t2 = -11.83673469

The t term is -0.5102040816t.  Take half its coefficient (-0.2551020408).
Square it (0.06507705122) and add it to both sides.

Add '0.06507705122' to each side of the equation.
-0.5102040816t + 0.06507705122 + t2 = -11.83673469 + 0.06507705122

Reorder the terms:
0.06507705122 + -0.5102040816t + t2 = -11.83673469 + 0.06507705122

Combine like terms: -11.83673469 + 0.06507705122 = -11.77165763878
0.06507705122 + -0.5102040816t + t2 = -11.77165763878

Factor a perfect square on the left side:
(t + -0.2551020408)(t + -0.2551020408) = -11.77165763878

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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