0.0825t^2-0.898t+1.818=0

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Solution for 0.0825t^2-0.898t+1.818=0 equation: 


Simplifying
0.0825t2 + -0.898t + 1.818 = 0

Reorder the terms:
1.818 + -0.898t + 0.0825t2 = 0

Solving
1.818 + -0.898t + 0.0825t2 = 0

Solving for variable 't'.

Begin completing the square.  Divide all terms by
0.0825 the coefficient of the squared term: 

Divide each side by '0.0825'.
22.03636364 + -10.88484848t + t2 = 0

Move the constant term to the right:

Add '-22.03636364' to each side of the equation.
22.03636364 + -10.88484848t + -22.03636364 + t2 = 0 + -22.03636364

Reorder the terms:
22.03636364 + -22.03636364 + -10.88484848t + t2 = 0 + -22.03636364

Combine like terms: 22.03636364 + -22.03636364 = 0.00000000
0.00000000 + -10.88484848t + t2 = 0 + -22.03636364
-10.88484848t + t2 = 0 + -22.03636364

Combine like terms: 0 + -22.03636364 = -22.03636364
-10.88484848t + t2 = -22.03636364

The t term is -10.88484848t.  Take half its coefficient (-5.44242424).
Square it (29.61998161) and add it to both sides.

Add '29.61998161' to each side of the equation.
-10.88484848t + 29.61998161 + t2 = -22.03636364 + 29.61998161

Reorder the terms:
29.61998161 + -10.88484848t + t2 = -22.03636364 + 29.61998161

Combine like terms: -22.03636364 + 29.61998161 = 7.58361797
29.61998161 + -10.88484848t + t2 = 7.58361797

Factor a perfect square on the left side:
(t + -5.44242424)(t + -5.44242424) = 7.58361797

Calculate the square root of the right side: 2.753836954

Break this problem into two subproblems by setting 
(t + -5.44242424) equal to 2.753836954 and -2.753836954.


Subproblem 1
t + -5.44242424 = 2.753836954

Simplifying
t + -5.44242424 = 2.753836954

Reorder the terms:
-5.44242424 + t = 2.753836954

Solving
-5.44242424 + t = 2.753836954

Solving for variable 't'.

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

Add '5.44242424' to each side of the equation.
-5.44242424 + 5.44242424 + t = 2.753836954 + 5.44242424

Combine like terms: -5.44242424 + 5.44242424 = 0.00000000
0.00000000 + t = 2.753836954 + 5.44242424
t = 2.753836954 + 5.44242424

Combine like terms: 2.753836954 + 5.44242424 = 8.196261194
t = 8.196261194

Simplifying
t = 8.196261194


Subproblem 2
t + -5.44242424 = -2.753836954

Simplifying
t + -5.44242424 = -2.753836954

Reorder the terms:
-5.44242424 + t = -2.753836954

Solving
-5.44242424 + t = -2.753836954

Solving for variable 't'.

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

Add '5.44242424' to each side of the equation.
-5.44242424 + 5.44242424 + t = -2.753836954 + 5.44242424

Combine like terms: -5.44242424 + 5.44242424 = 0.00000000
0.00000000 + t = -2.753836954 + 5.44242424
t = -2.753836954 + 5.44242424

Combine like terms: -2.753836954 + 5.44242424 = 2.688587286
t = 2.688587286

Simplifying
t = 2.688587286


Solution
The solution to the problem is based on the solutions
from the subproblems.
t = {8.196261194, 2.688587286}

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