45X^2+15X+5=0

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Solution for 45X^2+15X+5=0 equation: 


Simplifying
45X2 + 15X + 5 = 0

Reorder the terms:
5 + 15X + 45X2 = 0

Solving
5 + 15X + 45X2 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '5'.
5(1 + 3X + 9X2) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(1 + 3X + 9X2)' equal to zero and attempt to solve:

Simplifying
1 + 3X + 9X2 = 0

Solving
1 + 3X + 9X2 = 0

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

Divide each side by '9'.
0.1111111111 + 0.3333333333X + X2 = 0

Move the constant term to the right:

Add '-0.1111111111' to each side of the equation.
0.1111111111 + 0.3333333333X + -0.1111111111 + X2 = 0 + -0.1111111111

Reorder the terms:
0.1111111111 + -0.1111111111 + 0.3333333333X + X2 = 0 + -0.1111111111

Combine like terms: 0.1111111111 + -0.1111111111 = 0.0000000000
0.0000000000 + 0.3333333333X + X2 = 0 + -0.1111111111
0.3333333333X + X2 = 0 + -0.1111111111

Combine like terms: 0 + -0.1111111111 = -0.1111111111
0.3333333333X + X2 = -0.1111111111

The X term is 0.3333333333X.  Take half its coefficient (0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
0.3333333333X + 0.02777777779 + X2 = -0.1111111111 + 0.02777777779

Reorder the terms:
0.02777777779 + 0.3333333333X + X2 = -0.1111111111 + 0.02777777779

Combine like terms: -0.1111111111 + 0.02777777779 = -0.08333333331
0.02777777779 + 0.3333333333X + X2 = -0.08333333331

Factor a perfect square on the left side:
(X + 0.1666666667)(X + 0.1666666667) = -0.08333333331

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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