8x+4(4x-3)=4(6x+4)x-4

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Solution for 8x+4(4x-3)=4(6x+4)x-4 equation: 


Simplifying
8x + 4(4x + -3) = 4(6x + 4) * x + -4

Reorder the terms:
8x + 4(-3 + 4x) = 4(6x + 4) * x + -4
8x + (-3 * 4 + 4x * 4) = 4(6x + 4) * x + -4
8x + (-12 + 16x) = 4(6x + 4) * x + -4

Reorder the terms:
-12 + 8x + 16x = 4(6x + 4) * x + -4

Combine like terms: 8x + 16x = 24x
-12 + 24x = 4(6x + 4) * x + -4

Reorder the terms:
-12 + 24x = 4(4 + 6x) * x + -4

Reorder the terms for easier multiplication:
-12 + 24x = 4x(4 + 6x) + -4
-12 + 24x = (4 * 4x + 6x * 4x) + -4
-12 + 24x = (16x + 24x2) + -4

Reorder the terms:
-12 + 24x = -4 + 16x + 24x2

Solving
-12 + 24x = -4 + 16x + 24x2

Solving for variable 'x'.

Reorder the terms:
-12 + 4 + 24x + -16x + -24x2 = -4 + 16x + 24x2 + 4 + -16x + -24x2

Combine like terms: -12 + 4 = -8
-8 + 24x + -16x + -24x2 = -4 + 16x + 24x2 + 4 + -16x + -24x2

Combine like terms: 24x + -16x = 8x
-8 + 8x + -24x2 = -4 + 16x + 24x2 + 4 + -16x + -24x2

Reorder the terms:
-8 + 8x + -24x2 = -4 + 4 + 16x + -16x + 24x2 + -24x2

Combine like terms: -4 + 4 = 0
-8 + 8x + -24x2 = 0 + 16x + -16x + 24x2 + -24x2
-8 + 8x + -24x2 = 16x + -16x + 24x2 + -24x2

Combine like terms: 16x + -16x = 0
-8 + 8x + -24x2 = 0 + 24x2 + -24x2
-8 + 8x + -24x2 = 24x2 + -24x2

Combine like terms: 24x2 + -24x2 = 0
-8 + 8x + -24x2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(-1 + x + -3x2) = 0

Ignore the factor 8.

Subproblem 1
Set the factor '(-1 + x + -3x2)' equal to zero and attempt to solve:

Simplifying
-1 + x + -3x2 = 0

Solving
-1 + x + -3x2 = 0

Begin completing the square.  Divide all terms by
-3 the coefficient of the squared term: 

Divide each side by '-3'.
0.3333333333 + -0.3333333333x + x2 = 0

Move the constant term to the right:

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

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

Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000
0.0000000000 + -0.3333333333x + x2 = 0 + -0.3333333333
-0.3333333333x + x2 = 0 + -0.3333333333

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

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-0.3333333333x + 0.25 + x2 = -0.3333333333 + 0.25

Reorder the terms:
0.25 + -0.3333333333x + x2 = -0.3333333333 + 0.25

Combine like terms: -0.3333333333 + 0.25 = -0.0833333333
0.25 + -0.3333333333x + x2 = -0.0833333333

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -0.0833333333

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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