x(x+2)+107=6(x+(x+2))

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Solution for x(x+2)+107=6(x+(x+2)) equation: 


Simplifying
x(x + 2) + 107 = 6(x + (x + 2))

Reorder the terms:
x(2 + x) + 107 = 6(x + (x + 2))
(2 * x + x * x) + 107 = 6(x + (x + 2))
(2x + x2) + 107 = 6(x + (x + 2))

Reorder the terms:
107 + 2x + x2 = 6(x + (x + 2))

Reorder the terms:
107 + 2x + x2 = 6(x + (2 + x))

Remove parenthesis around (2 + x)
107 + 2x + x2 = 6(x + 2 + x)

Reorder the terms:
107 + 2x + x2 = 6(2 + x + x)

Combine like terms: x + x = 2x
107 + 2x + x2 = 6(2 + 2x)
107 + 2x + x2 = (2 * 6 + 2x * 6)
107 + 2x + x2 = (12 + 12x)

Solving
107 + 2x + x2 = 12 + 12x

Solving for variable 'x'.

Reorder the terms:
107 + -12 + 2x + -12x + x2 = 12 + 12x + -12 + -12x

Combine like terms: 107 + -12 = 95
95 + 2x + -12x + x2 = 12 + 12x + -12 + -12x

Combine like terms: 2x + -12x = -10x
95 + -10x + x2 = 12 + 12x + -12 + -12x

Reorder the terms:
95 + -10x + x2 = 12 + -12 + 12x + -12x

Combine like terms: 12 + -12 = 0
95 + -10x + x2 = 0 + 12x + -12x
95 + -10x + x2 = 12x + -12x

Combine like terms: 12x + -12x = 0
95 + -10x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-95' to each side of the equation.
95 + -10x + -95 + x2 = 0 + -95

Reorder the terms:
95 + -95 + -10x + x2 = 0 + -95

Combine like terms: 95 + -95 = 0
0 + -10x + x2 = 0 + -95
-10x + x2 = 0 + -95

Combine like terms: 0 + -95 = -95
-10x + x2 = -95

The x term is -10x.  Take half its coefficient (-5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
-10x + 25 + x2 = -95 + 25

Reorder the terms:
25 + -10x + x2 = -95 + 25

Combine like terms: -95 + 25 = -70
25 + -10x + x2 = -70

Factor a perfect square on the left side:
(x + -5)(x + -5) = -70

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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