2x(x+8)=4x-8(8+4)

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Solution for 2x(x+8)=4x-8(8+4) equation: 


Simplifying
2x(x + 8) = 4x + -8(8 + 4)

Reorder the terms:
2x(8 + x) = 4x + -8(8 + 4)
(8 * 2x + x * 2x) = 4x + -8(8 + 4)
(16x + 2x2) = 4x + -8(8 + 4)

Combine like terms: 8 + 4 = 12
16x + 2x2 = 4x + -8(12)

Multiply -8 * 12
16x + 2x2 = 4x + -96

Reorder the terms:
16x + 2x2 = -96 + 4x

Solving
16x + 2x2 = -96 + 4x

Solving for variable 'x'.

Reorder the terms:
96 + 16x + -4x + 2x2 = -96 + 4x + 96 + -4x

Combine like terms: 16x + -4x = 12x
96 + 12x + 2x2 = -96 + 4x + 96 + -4x

Reorder the terms:
96 + 12x + 2x2 = -96 + 96 + 4x + -4x

Combine like terms: -96 + 96 = 0
96 + 12x + 2x2 = 0 + 4x + -4x
96 + 12x + 2x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
96 + 12x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(48 + 6x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(48 + 6x + x2)' equal to zero and attempt to solve:

Simplifying
48 + 6x + x2 = 0

Solving
48 + 6x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-48' to each side of the equation.
48 + 6x + -48 + x2 = 0 + -48

Reorder the terms:
48 + -48 + 6x + x2 = 0 + -48

Combine like terms: 48 + -48 = 0
0 + 6x + x2 = 0 + -48
6x + x2 = 0 + -48

Combine like terms: 0 + -48 = -48
6x + x2 = -48

The x term is 6x.  Take half its coefficient (3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
6x + 9 + x2 = -48 + 9

Reorder the terms:
9 + 6x + x2 = -48 + 9

Combine like terms: -48 + 9 = -39
9 + 6x + x2 = -39

Factor a perfect square on the left side:
(x + 3)(x + 3) = -39

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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