5t^2-4t+1.25=0

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Solution for 5t^2-4t+1.25=0 equation:


Simplifying
5t2 + -4t + 1.25 = 0

Reorder the terms:
1.25 + -4t + 5t2 = 0

Solving
1.25 + -4t + 5t2 = 0

Solving for variable 't'.

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

Divide each side by '5'.
0.25 + -0.8t + t2 = 0

Move the constant term to the right:

Add '-0.25' to each side of the equation.
0.25 + -0.8t + -0.25 + t2 = 0 + -0.25

Reorder the terms:
0.25 + -0.25 + -0.8t + t2 = 0 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + -0.8t + t2 = 0 + -0.25
-0.8t + t2 = 0 + -0.25

Combine like terms: 0 + -0.25 = -0.25
-0.8t + t2 = -0.25

The t term is -0.8t.  Take half its coefficient (-0.4).
Square it (0.16) and add it to both sides.

Add '0.16' to each side of the equation.
-0.8t + 0.16 + t2 = -0.25 + 0.16

Reorder the terms:
0.16 + -0.8t + t2 = -0.25 + 0.16

Combine like terms: -0.25 + 0.16 = -0.09
0.16 + -0.8t + t2 = -0.09

Factor a perfect square on the left side:
(t + -0.4)(t + -0.4) = -0.09

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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