30x^2+12x+2=0

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Solution for 30x^2+12x+2=0 equation: 


Simplifying
30x2 + 12x + 2 = 0

Reorder the terms:
2 + 12x + 30x2 = 0

Solving
2 + 12x + 30x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + 6x + 15x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(1 + 6x + 15x2)' equal to zero and attempt to solve:

Simplifying
1 + 6x + 15x2 = 0

Solving
1 + 6x + 15x2 = 0

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

Divide each side by '15'.
0.06666666667 + 0.4x + x2 = 0

Move the constant term to the right:

Add '-0.06666666667' to each side of the equation.
0.06666666667 + 0.4x + -0.06666666667 + x2 = 0 + -0.06666666667

Reorder the terms:
0.06666666667 + -0.06666666667 + 0.4x + x2 = 0 + -0.06666666667

Combine like terms: 0.06666666667 + -0.06666666667 = 0.00000000000
0.00000000000 + 0.4x + x2 = 0 + -0.06666666667
0.4x + x2 = 0 + -0.06666666667

Combine like terms: 0 + -0.06666666667 = -0.06666666667
0.4x + x2 = -0.06666666667

The x term is 0.4x.  Take half its coefficient (0.2).
Square it (0.04) and add it to both sides.

Add '0.04' to each side of the equation.
0.4x + 0.04 + x2 = -0.06666666667 + 0.04

Reorder the terms:
0.04 + 0.4x + x2 = -0.06666666667 + 0.04

Combine like terms: -0.06666666667 + 0.04 = -0.02666666667
0.04 + 0.4x + x2 = -0.02666666667

Factor a perfect square on the left side:
(x + 0.2)(x + 0.2) = -0.02666666667

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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