(5+x)(x-1)+9=(2+x)(2+x)

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Solution for (5+x)(x-1)+9=(2+x)(2+x) equation: 


Simplifying
(5 + x)(x + -1) + 9 = (2 + x)(2 + x)

Reorder the terms:
(5 + x)(-1 + x) + 9 = (2 + x)(2 + x)

Multiply (5 + x) * (-1 + x)
(5(-1 + x) + x(-1 + x)) + 9 = (2 + x)(2 + x)
((-1 * 5 + x * 5) + x(-1 + x)) + 9 = (2 + x)(2 + x)
((-5 + 5x) + x(-1 + x)) + 9 = (2 + x)(2 + x)
(-5 + 5x + (-1 * x + x * x)) + 9 = (2 + x)(2 + x)
(-5 + 5x + (-1x + x2)) + 9 = (2 + x)(2 + x)

Combine like terms: 5x + -1x = 4x
(-5 + 4x + x2) + 9 = (2 + x)(2 + x)

Reorder the terms:
-5 + 9 + 4x + x2 = (2 + x)(2 + x)

Combine like terms: -5 + 9 = 4
4 + 4x + x2 = (2 + x)(2 + x)

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

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

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

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

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

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

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

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

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

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

Add '-1x2' to each side of the equation.
x2 + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
0 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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