8x(12x+3)=10x-4

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Solution for 8x(12x+3)=10x-4 equation: 


Simplifying
8x(12x + 3) = 10x + -4

Reorder the terms:
8x(3 + 12x) = 10x + -4
(3 * 8x + 12x * 8x) = 10x + -4
(24x + 96x2) = 10x + -4

Reorder the terms:
24x + 96x2 = -4 + 10x

Solving
24x + 96x2 = -4 + 10x

Solving for variable 'x'.

Reorder the terms:
4 + 24x + -10x + 96x2 = -4 + 10x + 4 + -10x

Combine like terms: 24x + -10x = 14x
4 + 14x + 96x2 = -4 + 10x + 4 + -10x

Reorder the terms:
4 + 14x + 96x2 = -4 + 4 + 10x + -10x

Combine like terms: -4 + 4 = 0
4 + 14x + 96x2 = 0 + 10x + -10x
4 + 14x + 96x2 = 10x + -10x

Combine like terms: 10x + -10x = 0
4 + 14x + 96x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(2 + 7x + 48x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(2 + 7x + 48x2)' equal to zero and attempt to solve:

Simplifying
2 + 7x + 48x2 = 0

Solving
2 + 7x + 48x2 = 0

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

Divide each side by '48'.
0.04166666667 + 0.1458333333x + x2 = 0

Move the constant term to the right:

Add '-0.04166666667' to each side of the equation.
0.04166666667 + 0.1458333333x + -0.04166666667 + x2 = 0 + -0.04166666667

Reorder the terms:
0.04166666667 + -0.04166666667 + 0.1458333333x + x2 = 0 + -0.04166666667

Combine like terms: 0.04166666667 + -0.04166666667 = 0.00000000000
0.00000000000 + 0.1458333333x + x2 = 0 + -0.04166666667
0.1458333333x + x2 = 0 + -0.04166666667

Combine like terms: 0 + -0.04166666667 = -0.04166666667
0.1458333333x + x2 = -0.04166666667

The x term is 0.1458333333x.  Take half its coefficient (0.07291666665).
Square it (0.005316840275) and add it to both sides.

Add '0.005316840275' to each side of the equation.
0.1458333333x + 0.005316840275 + x2 = -0.04166666667 + 0.005316840275

Reorder the terms:
0.005316840275 + 0.1458333333x + x2 = -0.04166666667 + 0.005316840275

Combine like terms: -0.04166666667 + 0.005316840275 = -0.036349826395
0.005316840275 + 0.1458333333x + x2 = -0.036349826395

Factor a perfect square on the left side:
(x + 0.07291666665)(x + 0.07291666665) = -0.036349826395

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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