(x+p)(x+13)=x+21x+104

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Solution for (x+p)(x+13)=x+21x+104 equation: 


Simplifying
(x + p)(x + 13) = x + 21x + 104

Reorder the terms:
(p + x)(x + 13) = x + 21x + 104

Reorder the terms:
(p + x)(13 + x) = x + 21x + 104

Multiply (p + x) * (13 + x)
(p(13 + x) + x(13 + x)) = x + 21x + 104
((13 * p + x * p) + x(13 + x)) = x + 21x + 104
((13p + px) + x(13 + x)) = x + 21x + 104
(13p + px + (13 * x + x * x)) = x + 21x + 104
(13p + px + (13x + x2)) = x + 21x + 104
(13p + px + 13x + x2) = x + 21x + 104

Reorder the terms:
13p + px + 13x + x2 = 104 + x + 21x

Combine like terms: x + 21x = 22x
13p + px + 13x + x2 = 104 + 22x

Solving
13p + px + 13x + x2 = 104 + 22x

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '-13x' to each side of the equation.
13p + px + 13x + -13x + x2 = 104 + 22x + -13x

Combine like terms: 13x + -13x = 0
13p + px + 0 + x2 = 104 + 22x + -13x
13p + px + x2 = 104 + 22x + -13x

Combine like terms: 22x + -13x = 9x
13p + px + x2 = 104 + 9x

Add '-1x2' to each side of the equation.
13p + px + x2 + -1x2 = 104 + 9x + -1x2

Combine like terms: x2 + -1x2 = 0
13p + px + 0 = 104 + 9x + -1x2
13p + px = 104 + 9x + -1x2

Reorder the terms:
-104 + 13p + px + -9x + x2 = 104 + 9x + -1x2 + -104 + -9x + x2

Reorder the terms:
-104 + 13p + px + -9x + x2 = 104 + -104 + 9x + -9x + -1x2 + x2

Combine like terms: 104 + -104 = 0
-104 + 13p + px + -9x + x2 = 0 + 9x + -9x + -1x2 + x2
-104 + 13p + px + -9x + x2 = 9x + -9x + -1x2 + x2

Combine like terms: 9x + -9x = 0
-104 + 13p + px + -9x + x2 = 0 + -1x2 + x2
-104 + 13p + px + -9x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-104 + 13p + px + -9x + x2 = 0

The solution to this equation could not be determined.

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