0.0000987t^2-0.0122t+0.0613=0

Solution for 0.0000987t^2-0.0122t+0.0613=0 equation:

Simplifying
0.0000987t2 + -0.0122t + 0.0613 = 0

Reorder the terms:
0.0613 + -0.0122t + 0.0000987t2 = 0

Solving
0.0613 + -0.0122t + 0.0000987t2 = 0

Solving for variable 't'.

Begin completing the square.  Divide all terms by
0.0000987 the coefficient of the squared term: 

Divide each side by '0.0000987'.
621.0739615 + -123.6068896t + t2 = 0

Move the constant term to the right:

Add '-621.0739615' to each side of the equation.
621.0739615 + -123.6068896t + -621.0739615 + t2 = 0 + -621.0739615

Reorder the terms:
621.0739615 + -621.0739615 + -123.6068896t + t2 = 0 + -621.0739615

Combine like terms: 621.0739615 + -621.0739615 = 0.0000000
0.0000000 + -123.6068896t + t2 = 0 + -621.0739615
-123.6068896t + t2 = 0 + -621.0739615

Combine like terms: 0 + -621.0739615 = -621.0739615
-123.6068896t + t2 = -621.0739615

The t term is -123.6068896t.  Take half its coefficient (-61.8034448).
Square it (3819.665789) and add it to both sides.

Add '3819.665789' to each side of the equation.
-123.6068896t + 3819.665789 + t2 = -621.0739615 + 3819.665789

Reorder the terms:
3819.665789 + -123.6068896t + t2 = -621.0739615 + 3819.665789

Combine like terms: -621.0739615 + 3819.665789 = 3198.5918275
3819.665789 + -123.6068896t + t2 = 3198.5918275

Factor a perfect square on the left side:
(t + -61.8034448)(t + -61.8034448) = 3198.5918275

Calculate the square root of the right side: 56.556094521

Break this problem into two subproblems by setting 
(t + -61.8034448) equal to 56.556094521 and -56.556094521.

Subproblem 1
t + -61.8034448 = 56.556094521

Simplifying
t + -61.8034448 = 56.556094521

Reorder the terms:
-61.8034448 + t = 56.556094521

Solving
-61.8034448 + t = 56.556094521

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '61.8034448' to each side of the equation.
-61.8034448 + 61.8034448 + t = 56.556094521 + 61.8034448

Combine like terms: -61.8034448 + 61.8034448 = 0.0000000
0.0000000 + t = 56.556094521 + 61.8034448
t = 56.556094521 + 61.8034448

Combine like terms: 56.556094521 + 61.8034448 = 118.359539321
t = 118.359539321

Simplifying
t = 118.359539321

Subproblem 2
t + -61.8034448 = -56.556094521

Simplifying
t + -61.8034448 = -56.556094521

Reorder the terms:
-61.8034448 + t = -56.556094521

Solving
-61.8034448 + t = -56.556094521

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '61.8034448' to each side of the equation.
-61.8034448 + 61.8034448 + t = -56.556094521 + 61.8034448

Combine like terms: -61.8034448 + 61.8034448 = 0.0000000
0.0000000 + t = -56.556094521 + 61.8034448
t = -56.556094521 + 61.8034448

Combine like terms: -56.556094521 + 61.8034448 = 5.247350279
t = 5.247350279

Simplifying
t = 5.247350279

Solution
The solution to the problem is based on the solutions
from the subproblems.
t = {118.359539321, 5.247350279}