-15t^2-4t-1=0

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Solution for -15t^2-4t-1=0 equation: 


Simplifying
-15t2 + -4t + -1 = 0

Reorder the terms:
-1 + -4t + -15t2 = 0

Solving
-1 + -4t + -15t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(1 + 4t + 15t2) = 0

Ignore the factor -1.

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

Simplifying
1 + 4t + 15t2 = 0

Solving
1 + 4t + 15t2 = 0

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

Divide each side by '15'.
0.06666666667 + 0.2666666667t + t2 = 0

Move the constant term to the right:

Add '-0.06666666667' to each side of the equation.
0.06666666667 + 0.2666666667t + -0.06666666667 + t2 = 0 + -0.06666666667

Reorder the terms:
0.06666666667 + -0.06666666667 + 0.2666666667t + t2 = 0 + -0.06666666667

Combine like terms: 0.06666666667 + -0.06666666667 = 0.00000000000
0.00000000000 + 0.2666666667t + t2 = 0 + -0.06666666667
0.2666666667t + t2 = 0 + -0.06666666667

Combine like terms: 0 + -0.06666666667 = -0.06666666667
0.2666666667t + t2 = -0.06666666667

The t term is 0.2666666667t.  Take half its coefficient (0.1333333334).
Square it (0.01777777780) and add it to both sides.

Add '0.01777777780' to each side of the equation.
0.2666666667t + 0.01777777780 + t2 = -0.06666666667 + 0.01777777780

Reorder the terms:
0.01777777780 + 0.2666666667t + t2 = -0.06666666667 + 0.01777777780

Combine like terms: -0.06666666667 + 0.01777777780 = -0.04888888887
0.01777777780 + 0.2666666667t + t2 = -0.04888888887

Factor a perfect square on the left side:
(t + 0.1333333334)(t + 0.1333333334) = -0.04888888887

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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