48x^2+12x+3=0

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Solution for 48x^2+12x+3=0 equation: 


Simplifying
48x2 + 12x + 3 = 0

Reorder the terms:
3 + 12x + 48x2 = 0

Solving
3 + 12x + 48x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(1 + 4x + 16x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(1 + 4x + 16x2)' equal to zero and attempt to solve:

Simplifying
1 + 4x + 16x2 = 0

Solving
1 + 4x + 16x2 = 0

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

Divide each side by '16'.
0.0625 + 0.25x + x2 = 0

Move the constant term to the right:

Add '-0.0625' to each side of the equation.
0.0625 + 0.25x + -0.0625 + x2 = 0 + -0.0625

Reorder the terms:
0.0625 + -0.0625 + 0.25x + x2 = 0 + -0.0625

Combine like terms: 0.0625 + -0.0625 = 0.0000
0.0000 + 0.25x + x2 = 0 + -0.0625
0.25x + x2 = 0 + -0.0625

Combine like terms: 0 + -0.0625 = -0.0625
0.25x + x2 = -0.0625

The x term is 0.25x.  Take half its coefficient (0.125).
Square it (0.015625) and add it to both sides.

Add '0.015625' to each side of the equation.
0.25x + 0.015625 + x2 = -0.0625 + 0.015625

Reorder the terms:
0.015625 + 0.25x + x2 = -0.0625 + 0.015625

Combine like terms: -0.0625 + 0.015625 = -0.046875
0.015625 + 0.25x + x2 = -0.046875

Factor a perfect square on the left side:
(x + 0.125)(x + 0.125) = -0.046875

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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