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

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


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

Reorder the terms:
(2 + x)(x + 4) = 3x + 2

Reorder the terms:
(2 + x)(4 + x) = 3x + 2

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

Combine like terms: 2x + 4x = 6x
(8 + 6x + x2) = 3x + 2

Reorder the terms:
8 + 6x + x2 = 2 + 3x

Solving
8 + 6x + x2 = 2 + 3x

Solving for variable 'x'.

Reorder the terms:
8 + -2 + 6x + -3x + x2 = 2 + 3x + -2 + -3x

Combine like terms: 8 + -2 = 6
6 + 6x + -3x + x2 = 2 + 3x + -2 + -3x

Combine like terms: 6x + -3x = 3x
6 + 3x + x2 = 2 + 3x + -2 + -3x

Reorder the terms:
6 + 3x + x2 = 2 + -2 + 3x + -3x

Combine like terms: 2 + -2 = 0
6 + 3x + x2 = 0 + 3x + -3x
6 + 3x + x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
6 + 3x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + 3x + -6 + x2 = 0 + -6

Reorder the terms:
6 + -6 + 3x + x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 3x + x2 = 0 + -6
3x + x2 = 0 + -6

Combine like terms: 0 + -6 = -6
3x + x2 = -6

The x term is 3x.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3x + 2.25 + x2 = -6 + 2.25

Reorder the terms:
2.25 + 3x + x2 = -6 + 2.25

Combine like terms: -6 + 2.25 = -3.75
2.25 + 3x + x2 = -3.75

Factor a perfect square on the left side:
(x + 1.5)(x + 1.5) = -3.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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