2x(x)+8(x+3)=(x+4)+12

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Solution for 2x(x)+8(x+3)=(x+4)+12 equation: 


Simplifying
2x(x) + 8(x + 3) = (x + 4) + 12

Multiply x * x
2x2 + 8(x + 3) = (x + 4) + 12

Reorder the terms:
2x2 + 8(3 + x) = (x + 4) + 12
2x2 + (3 * 8 + x * 8) = (x + 4) + 12
2x2 + (24 + 8x) = (x + 4) + 12

Reorder the terms:
24 + 8x + 2x2 = (x + 4) + 12

Reorder the terms:
24 + 8x + 2x2 = (4 + x) + 12

Remove parenthesis around (4 + x)
24 + 8x + 2x2 = 4 + x + 12

Reorder the terms:
24 + 8x + 2x2 = 4 + 12 + x

Combine like terms: 4 + 12 = 16
24 + 8x + 2x2 = 16 + x

Solving
24 + 8x + 2x2 = 16 + x

Solving for variable 'x'.

Reorder the terms:
24 + -16 + 8x + -1x + 2x2 = 16 + x + -16 + -1x

Combine like terms: 24 + -16 = 8
8 + 8x + -1x + 2x2 = 16 + x + -16 + -1x

Combine like terms: 8x + -1x = 7x
8 + 7x + 2x2 = 16 + x + -16 + -1x

Reorder the terms:
8 + 7x + 2x2 = 16 + -16 + x + -1x

Combine like terms: 16 + -16 = 0
8 + 7x + 2x2 = 0 + x + -1x
8 + 7x + 2x2 = x + -1x

Combine like terms: x + -1x = 0
8 + 7x + 2x2 = 0

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

Divide each side by '2'.
4 + 3.5x + x2 = 0

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + 3.5x + -4 + x2 = 0 + -4

Reorder the terms:
4 + -4 + 3.5x + x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3.5x + x2 = 0 + -4
3.5x + x2 = 0 + -4

Combine like terms: 0 + -4 = -4
3.5x + x2 = -4

The x term is 3.5x.  Take half its coefficient (1.75).
Square it (3.0625) and add it to both sides.

Add '3.0625' to each side of the equation.
3.5x + 3.0625 + x2 = -4 + 3.0625

Reorder the terms:
3.0625 + 3.5x + x2 = -4 + 3.0625

Combine like terms: -4 + 3.0625 = -0.9375
3.0625 + 3.5x + x2 = -0.9375

Factor a perfect square on the left side:
(x + 1.75)(x + 1.75) = -0.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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