-58=14t+(.5)(9.8)t^2

Solution for -58=14t+(.5)(9.8)t^2 equation:

Simplifying
-58 = 14t + (0.5)(9.8) * t2

Multiply 0.5 * 9.8
-58 = 14t + 4.9t2

Solving
-58 = 14t + 4.9t2

Solving for variable 't'.

Reorder the terms:
-58 + -14t + -4.9t2 = 14t + -14t + 4.9t2 + -4.9t2

Combine like terms: 14t + -14t = 0
-58 + -14t + -4.9t2 = 0 + 4.9t2 + -4.9t2
-58 + -14t + -4.9t2 = 4.9t2 + -4.9t2

Combine like terms: 4.9t2 + -4.9t2 = 0.0
-58 + -14t + -4.9t2 = 0.0

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

Divide each side by '-4.9'.
11.83673469 + 2.857142857t + t2 = 0

Move the constant term to the right:

Add '-11.83673469' to each side of the equation.
11.83673469 + 2.857142857t + -11.83673469 + t2 = 0 + -11.83673469

Reorder the terms:
11.83673469 + -11.83673469 + 2.857142857t + t2 = 0 + -11.83673469

Combine like terms: 11.83673469 + -11.83673469 = 0.00000000
0.00000000 + 2.857142857t + t2 = 0 + -11.83673469
2.857142857t + t2 = 0 + -11.83673469

Combine like terms: 0 + -11.83673469 = -11.83673469
2.857142857t + t2 = -11.83673469

The t term is 2.857142857t.  Take half its coefficient (1.428571429).
Square it (2.040816328) and add it to both sides.

Add '2.040816328' to each side of the equation.
2.857142857t + 2.040816328 + t2 = -11.83673469 + 2.040816328

Reorder the terms:
2.040816328 + 2.857142857t + t2 = -11.83673469 + 2.040816328

Combine like terms: -11.83673469 + 2.040816328 = -9.795918362
2.040816328 + 2.857142857t + t2 = -9.795918362

Factor a perfect square on the left side:
(t + 1.428571429)(t + 1.428571429) = -9.795918362

Can't calculate square root of the right side.

The solution to this equation could not be determined.