-15x^2-4x-2=0

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Solution for -15x^2-4x-2=0 equation: 


Simplifying
-15x2 + -4x + -2 = 0

Reorder the terms:
-2 + -4x + -15x2 = 0

Solving
-2 + -4x + -15x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(2 + 4x + 15x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(2 + 4x + 15x2)' equal to zero and attempt to solve:

Simplifying
2 + 4x + 15x2 = 0

Solving
2 + 4x + 15x2 = 0

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

Divide each side by '15'.
0.1333333333 + 0.2666666667x + x2 = 0

Move the constant term to the right:

Add '-0.1333333333' to each side of the equation.
0.1333333333 + 0.2666666667x + -0.1333333333 + x2 = 0 + -0.1333333333

Reorder the terms:
0.1333333333 + -0.1333333333 + 0.2666666667x + x2 = 0 + -0.1333333333

Combine like terms: 0.1333333333 + -0.1333333333 = 0.0000000000
0.0000000000 + 0.2666666667x + x2 = 0 + -0.1333333333
0.2666666667x + x2 = 0 + -0.1333333333

Combine like terms: 0 + -0.1333333333 = -0.1333333333
0.2666666667x + x2 = -0.1333333333

The x term is 0.2666666667x.  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.
0.2666666667x + 0.01777777780 + x2 = -0.1333333333 + 0.01777777780

Reorder the terms:
0.01777777780 + 0.2666666667x + x2 = -0.1333333333 + 0.01777777780

Combine like terms: -0.1333333333 + 0.01777777780 = -0.1155555555
0.01777777780 + 0.2666666667x + x2 = -0.1155555555

Factor a perfect square on the left side:
(x + 0.1333333334)(x + 0.1333333334) = -0.1155555555

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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