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

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


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

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

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

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

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

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

Solving
24 + 8x + 2x2 = 12 + 4x + x2

Solving for variable 'x'.

Reorder the terms:
24 + -12 + 8x + -4x + 2x2 + -1x2 = 12 + 4x + x2 + -12 + -4x + -1x2

Combine like terms: 24 + -12 = 12
12 + 8x + -4x + 2x2 + -1x2 = 12 + 4x + x2 + -12 + -4x + -1x2

Combine like terms: 8x + -4x = 4x
12 + 4x + 2x2 + -1x2 = 12 + 4x + x2 + -12 + -4x + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
12 + 4x + 1x2 = 12 + 4x + x2 + -12 + -4x + -1x2

Reorder the terms:
12 + 4x + 1x2 = 12 + -12 + 4x + -4x + x2 + -1x2

Combine like terms: 12 + -12 = 0
12 + 4x + 1x2 = 0 + 4x + -4x + x2 + -1x2
12 + 4x + 1x2 = 4x + -4x + x2 + -1x2

Combine like terms: 4x + -4x = 0
12 + 4x + 1x2 = 0 + x2 + -1x2
12 + 4x + 1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
12 + 4x + 1x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-12' to each side of the equation.
12 + 4x + -12 + x2 = 0 + -12

Reorder the terms:
12 + -12 + 4x + x2 = 0 + -12

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

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

The x term is 4x.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4x + 4 + x2 = -12 + 4

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

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

Factor a perfect square on the left side:
(x + 2)(x + 2) = -8

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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