6.95=(3.95*t)+(4.9*t^2)

Solution for 6.95=(3.95*t)+(4.9*t^2) equation:

Simplifying
6.95 = (3.95t) + (4.9t2)

Solving
6.95 = (3.95t) + (4.9t2)

Solving for variable 't'.

Reorder the terms:
6.95 + (-3.95t) + (-4.9t2) = (3.95t) + (-3.95t) + (4.9t2) + (-4.9t2)

Combine like terms: (3.95t) + (-3.95t) = 0.00
6.95 + (-3.95t) + (-4.9t2) = 0.00 + (4.9t2) + (-4.9t2)
6.95 + (-3.95t) + (-4.9t2) = (4.9t2) + (-4.9t2)

Combine like terms: (4.9t2) + (-4.9t2) = 0.0
6.95 + (-3.95t) + (-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'.
-1.418367347 + (0.806122449t) + t2 = 0

Move the constant term to the right:

Add '1.418367347' to each side of the equation.
-1.418367347 + (0.806122449t) + 1.418367347 + t2 = 0 + 1.418367347

Reorder the terms:
-1.418367347 + 1.418367347 + (0.806122449t) + t2 = 0 + 1.418367347

Combine like terms: -1.418367347 + 1.418367347 = 0.000000000
0.000000000 + (0.806122449t) + t2 = 0 + 1.418367347
(0.806122449t) + t2 = 0 + 1.418367347

Combine like terms: 0 + 1.418367347 = 1.418367347
(0.806122449t) + t2 = 1.418367347

The t term is (0.806122449t).  Take half its coefficient (0.4030612245).
Square it (0.1624583507) and add it to both sides.

Add '0.1624583507' to each side of the equation.
(0.806122449t) + 0.1624583507 + t2 = 1.418367347 + 0.1624583507

Reorder the terms:
0.1624583507 + (0.806122449t) + t2 = 1.418367347 + 0.1624583507

Combine like terms: 1.418367347 + 0.1624583507 = 1.5808256977
0.1624583507 + (0.806122449t) + t2 = 1.5808256977

Factor a perfect square on the left side:
((t) + 0.4030612245)((t) + 0.4030612245) = 1.5808256977

Calculate the square root of the right side: 1.257308911

Break this problem into two subproblems by setting 
((t) + 0.4030612245) equal to 1.257308911 and -1.257308911.

Subproblem 1
(t) + 0.4030612245 = 1.257308911

Simplifying
(t) + 0.4030612245 = 1.257308911
t + 0.4030612245 = 1.257308911

Reorder the terms:
0.4030612245 + t = 1.257308911

Solving
0.4030612245 + t = 1.257308911

Solving for variable 't'.

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

Add '-0.4030612245' to each side of the equation.
0.4030612245 + -0.4030612245 + t = 1.257308911 + -0.4030612245

Combine like terms: 0.4030612245 + -0.4030612245 = 0.0000000000
0.0000000000 + t = 1.257308911 + -0.4030612245
t = 1.257308911 + -0.4030612245

Combine like terms: 1.257308911 + -0.4030612245 = 0.8542476865
t = 0.8542476865

Simplifying
t = 0.8542476865

Subproblem 2
(t) + 0.4030612245 = -1.257308911

Simplifying
(t) + 0.4030612245 = -1.257308911
t + 0.4030612245 = -1.257308911

Reorder the terms:
0.4030612245 + t = -1.257308911

Solving
0.4030612245 + t = -1.257308911

Solving for variable 't'.

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

Add '-0.4030612245' to each side of the equation.
0.4030612245 + -0.4030612245 + t = -1.257308911 + -0.4030612245

Combine like terms: 0.4030612245 + -0.4030612245 = 0.0000000000
0.0000000000 + t = -1.257308911 + -0.4030612245
t = -1.257308911 + -0.4030612245

Combine like terms: -1.257308911 + -0.4030612245 = -1.6603701355
t = -1.6603701355

Simplifying
t = -1.6603701355

Solution
The solution to the problem is based on the solutions
from the subproblems.
t = {0.8542476865, -1.6603701355}