16t^2+20t+60=0

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Solution for 16t^2+20t+60=0 equation: 


Simplifying
16t2 + 20t + 60 = 0

Reorder the terms:
60 + 20t + 16t2 = 0

Solving
60 + 20t + 16t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '4'.
4(15 + 5t + 4t2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(15 + 5t + 4t2)' equal to zero and attempt to solve:

Simplifying
15 + 5t + 4t2 = 0

Solving
15 + 5t + 4t2 = 0

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

Divide each side by '4'.
3.75 + 1.25t + t2 = 0

Move the constant term to the right:

Add '-3.75' to each side of the equation.
3.75 + 1.25t + -3.75 + t2 = 0 + -3.75

Reorder the terms:
3.75 + -3.75 + 1.25t + t2 = 0 + -3.75

Combine like terms: 3.75 + -3.75 = 0.00
0.00 + 1.25t + t2 = 0 + -3.75
1.25t + t2 = 0 + -3.75

Combine like terms: 0 + -3.75 = -3.75
1.25t + t2 = -3.75

The t term is 1.25t.  Take half its coefficient (0.625).
Square it (0.390625) and add it to both sides.

Add '0.390625' to each side of the equation.
1.25t + 0.390625 + t2 = -3.75 + 0.390625

Reorder the terms:
0.390625 + 1.25t + t2 = -3.75 + 0.390625

Combine like terms: -3.75 + 0.390625 = -3.359375
0.390625 + 1.25t + t2 = -3.359375

Factor a perfect square on the left side:
(t + 0.625)(t + 0.625) = -3.359375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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