16t^2+55t+60=0

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Solution for 16t^2+55t+60=0 equation:


Simplifying
16t2 + 55t + 60 = 0

Reorder the terms:
60 + 55t + 16t2 = 0

Solving
60 + 55t + 16t2 = 0

Solving for variable 't'.

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

Divide each side by '16'.
3.75 + 3.4375t + t2 = 0

Move the constant term to the right:

Add '-3.75' to each side of the equation.
3.75 + 3.4375t + -3.75 + t2 = 0 + -3.75

Reorder the terms:
3.75 + -3.75 + 3.4375t + t2 = 0 + -3.75

Combine like terms: 3.75 + -3.75 = 0.00
0.00 + 3.4375t + t2 = 0 + -3.75
3.4375t + t2 = 0 + -3.75

Combine like terms: 0 + -3.75 = -3.75
3.4375t + t2 = -3.75

The t term is 3.4375t.  Take half its coefficient (1.71875).
Square it (2.954101563) and add it to both sides.

Add '2.954101563' to each side of the equation.
3.4375t + 2.954101563 + t2 = -3.75 + 2.954101563

Reorder the terms:
2.954101563 + 3.4375t + t2 = -3.75 + 2.954101563

Combine like terms: -3.75 + 2.954101563 = -0.795898437
2.954101563 + 3.4375t + t2 = -0.795898437

Factor a perfect square on the left side:
(t + 1.71875)(t + 1.71875) = -0.795898437

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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