0=0.002037t^2+0.0170086t-0.06426

Solution for 0=0.002037t^2+0.0170086t-0.06426 equation:

Simplifying
0 = 0.002037t2 + 0.0170086t + -0.06426

Reorder the terms:
0 = -0.06426 + 0.0170086t + 0.002037t2

Solving
0 = -0.06426 + 0.0170086t + 0.002037t2

Solving for variable 't'.

Combine like terms: 0 + 0.06426 = 0.06426
0.06426 + -0.0170086t + -0.002037t2 = -0.06426 + 0.0170086t + 0.002037t2 + 0.06426 + -0.0170086t + -0.002037t2

Reorder the terms:
0.06426 + -0.0170086t + -0.002037t2 = -0.06426 + 0.06426 + 0.0170086t + -0.0170086t + 0.002037t2 + -0.002037t2

Combine like terms: -0.06426 + 0.06426 = 0.00000
0.06426 + -0.0170086t + -0.002037t2 = 0.00000 + 0.0170086t + -0.0170086t + 0.002037t2 + -0.002037t2
0.06426 + -0.0170086t + -0.002037t2 = 0.0170086t + -0.0170086t + 0.002037t2 + -0.002037t2

Combine like terms: 0.0170086t + -0.0170086t = 0.0000000
0.06426 + -0.0170086t + -0.002037t2 = 0.0000000 + 0.002037t2 + -0.002037t2
0.06426 + -0.0170086t + -0.002037t2 = 0.002037t2 + -0.002037t2

Combine like terms: 0.002037t2 + -0.002037t2 = 0.000000
0.06426 + -0.0170086t + -0.002037t2 = 0.000000

Begin completing the square.  Divide all terms by
-0.002037 the coefficient of the squared term: 

Divide each side by '-0.002037'.
-31.54639175 + 8.349828179t + t2 = 0

Move the constant term to the right:

Add '31.54639175' to each side of the equation.
-31.54639175 + 8.349828179t + 31.54639175 + t2 = 0 + 31.54639175

Reorder the terms:
-31.54639175 + 31.54639175 + 8.349828179t + t2 = 0 + 31.54639175

Combine like terms: -31.54639175 + 31.54639175 = 0.00000000
0.00000000 + 8.349828179t + t2 = 0 + 31.54639175
8.349828179t + t2 = 0 + 31.54639175

Combine like terms: 0 + 31.54639175 = 31.54639175
8.349828179t + t2 = 31.54639175

The t term is 8.349828179t.  Take half its coefficient (4.17491409).
Square it (17.42990766) and add it to both sides.

Add '17.42990766' to each side of the equation.
8.349828179t + 17.42990766 + t2 = 31.54639175 + 17.42990766

Reorder the terms:
17.42990766 + 8.349828179t + t2 = 31.54639175 + 17.42990766

Combine like terms: 31.54639175 + 17.42990766 = 48.97629941
17.42990766 + 8.349828179t + t2 = 48.97629941

Factor a perfect square on the left side:
(t + 4.17491409)(t + 4.17491409) = 48.97629941

Calculate the square root of the right side: 6.998306896

Break this problem into two subproblems by setting 
(t + 4.17491409) equal to 6.998306896 and -6.998306896.

Subproblem 1
t + 4.17491409 = 6.998306896

Simplifying
t + 4.17491409 = 6.998306896

Reorder the terms:
4.17491409 + t = 6.998306896

Solving
4.17491409 + t = 6.998306896

Solving for variable 't'.

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

Add '-4.17491409' to each side of the equation.
4.17491409 + -4.17491409 + t = 6.998306896 + -4.17491409

Combine like terms: 4.17491409 + -4.17491409 = 0.00000000
0.00000000 + t = 6.998306896 + -4.17491409
t = 6.998306896 + -4.17491409

Combine like terms: 6.998306896 + -4.17491409 = 2.823392806
t = 2.823392806

Simplifying
t = 2.823392806

Subproblem 2
t + 4.17491409 = -6.998306896

Simplifying
t + 4.17491409 = -6.998306896

Reorder the terms:
4.17491409 + t = -6.998306896

Solving
4.17491409 + t = -6.998306896

Solving for variable 't'.

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

Add '-4.17491409' to each side of the equation.
4.17491409 + -4.17491409 + t = -6.998306896 + -4.17491409

Combine like terms: 4.17491409 + -4.17491409 = 0.00000000
0.00000000 + t = -6.998306896 + -4.17491409
t = -6.998306896 + -4.17491409

Combine like terms: -6.998306896 + -4.17491409 = -11.173220986
t = -11.173220986

Simplifying
t = -11.173220986

Solution
The solution to the problem is based on the solutions
from the subproblems.
t = {2.823392806, -11.173220986}