t^2-4.898t+2.653=0

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Solution for t^2-4.898t+2.653=0 equation: 


Simplifying
t2 + -4.898t + 2.653 = 0

Reorder the terms:
2.653 + -4.898t + t2 = 0

Solving
2.653 + -4.898t + t2 = 0

Solving for variable 't'.

Begin completing the square.

Move the constant term to the right:

Add '-2.653' to each side of the equation.
2.653 + -4.898t + -2.653 + t2 = 0 + -2.653

Reorder the terms:
2.653 + -2.653 + -4.898t + t2 = 0 + -2.653

Combine like terms: 2.653 + -2.653 = 0.000
0.000 + -4.898t + t2 = 0 + -2.653
-4.898t + t2 = 0 + -2.653

Combine like terms: 0 + -2.653 = -2.653
-4.898t + t2 = -2.653

The t term is -4.898t.  Take half its coefficient (-2.449).
Square it (5.997601) and add it to both sides.

Add '5.997601' to each side of the equation.
-4.898t + 5.997601 + t2 = -2.653 + 5.997601

Reorder the terms:
5.997601 + -4.898t + t2 = -2.653 + 5.997601

Combine like terms: -2.653 + 5.997601 = 3.344601
5.997601 + -4.898t + t2 = 3.344601

Factor a perfect square on the left side:
(t + -2.449)(t + -2.449) = 3.344601

Calculate the square root of the right side: 1.828825033

Break this problem into two subproblems by setting 
(t + -2.449) equal to 1.828825033 and -1.828825033.


Subproblem 1
t + -2.449 = 1.828825033

Simplifying
t + -2.449 = 1.828825033

Reorder the terms:
-2.449 + t = 1.828825033

Solving
-2.449 + t = 1.828825033

Solving for variable 't'.

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

Add '2.449' to each side of the equation.
-2.449 + 2.449 + t = 1.828825033 + 2.449

Combine like terms: -2.449 + 2.449 = 0.000
0.000 + t = 1.828825033 + 2.449
t = 1.828825033 + 2.449

Combine like terms: 1.828825033 + 2.449 = 4.277825033
t = 4.277825033

Simplifying
t = 4.277825033


Subproblem 2
t + -2.449 = -1.828825033

Simplifying
t + -2.449 = -1.828825033

Reorder the terms:
-2.449 + t = -1.828825033

Solving
-2.449 + t = -1.828825033

Solving for variable 't'.

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

Add '2.449' to each side of the equation.
-2.449 + 2.449 + t = -1.828825033 + 2.449

Combine like terms: -2.449 + 2.449 = 0.000
0.000 + t = -1.828825033 + 2.449
t = -1.828825033 + 2.449

Combine like terms: -1.828825033 + 2.449 = 0.620174967
t = 0.620174967

Simplifying
t = 0.620174967


Solution
The solution to the problem is based on the solutions
from the subproblems.
t = {4.277825033, 0.620174967}

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