(x+2)(x+4)+20=10x

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Solution for (x+2)(x+4)+20=10x equation: 


Simplifying
(x + 2)(x + 4) + 20 = 10x

Reorder the terms:
(2 + x)(x + 4) + 20 = 10x

Reorder the terms:
(2 + x)(4 + x) + 20 = 10x

Multiply (2 + x) * (4 + x)
(2(4 + x) + x(4 + x)) + 20 = 10x
((4 * 2 + x * 2) + x(4 + x)) + 20 = 10x
((8 + 2x) + x(4 + x)) + 20 = 10x
(8 + 2x + (4 * x + x * x)) + 20 = 10x
(8 + 2x + (4x + x2)) + 20 = 10x

Combine like terms: 2x + 4x = 6x
(8 + 6x + x2) + 20 = 10x

Reorder the terms:
8 + 20 + 6x + x2 = 10x

Combine like terms: 8 + 20 = 28
28 + 6x + x2 = 10x

Solving
28 + 6x + x2 = 10x

Solving for variable 'x'.

Reorder the terms:
28 + 6x + -10x + x2 = 10x + -10x

Combine like terms: 6x + -10x = -4x
28 + -4x + x2 = 10x + -10x

Combine like terms: 10x + -10x = 0
28 + -4x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-28' to each side of the equation.
28 + -4x + -28 + x2 = 0 + -28

Reorder the terms:
28 + -28 + -4x + x2 = 0 + -28

Combine like terms: 28 + -28 = 0
0 + -4x + x2 = 0 + -28
-4x + x2 = 0 + -28

Combine like terms: 0 + -28 = -28
-4x + x2 = -28

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 = -28 + 4

Reorder the terms:
4 + -4x + x2 = -28 + 4

Combine like terms: -28 + 4 = -24
4 + -4x + x2 = -24

Factor a perfect square on the left side:
(x + -2)(x + -2) = -24

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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