24x^2+8x+1548=0

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Solution for 24x^2+8x+1548=0 equation: 


Simplifying
24x2 + 8x + 1548 = 0

Reorder the terms:
1548 + 8x + 24x2 = 0

Solving
1548 + 8x + 24x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(387 + 2x + 6x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(387 + 2x + 6x2)' equal to zero and attempt to solve:

Simplifying
387 + 2x + 6x2 = 0

Solving
387 + 2x + 6x2 = 0

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

Divide each side by '6'.
64.5 + 0.3333333333x + x2 = 0

Move the constant term to the right:

Add '-64.5' to each side of the equation.
64.5 + 0.3333333333x + -64.5 + x2 = 0 + -64.5

Reorder the terms:
64.5 + -64.5 + 0.3333333333x + x2 = 0 + -64.5

Combine like terms: 64.5 + -64.5 = 0.0
0.0 + 0.3333333333x + x2 = 0 + -64.5
0.3333333333x + x2 = 0 + -64.5

Combine like terms: 0 + -64.5 = -64.5
0.3333333333x + x2 = -64.5

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 = -64.5 + 0.02777777779

Reorder the terms:
0.02777777779 + 0.3333333333x + x2 = -64.5 + 0.02777777779

Combine like terms: -64.5 + 0.02777777779 = -64.47222222221
0.02777777779 + 0.3333333333x + x2 = -64.47222222221

Factor a perfect square on the left side:
(x + 0.1666666667)(x + 0.1666666667) = -64.47222222221

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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