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

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


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

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

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

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

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

Combine like terms: 9 + 1 = 10
10 + 2x + x2 = (x + 2)(x + 2)

Reorder the terms:
10 + 2x + x2 = (2 + x)(x + 2)

Reorder the terms:
10 + 2x + x2 = (2 + x)(2 + x)

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

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

Add '-1x2' to each side of the equation.
10 + 2x + x2 + -1x2 = 4 + 4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
10 + 2x + 0 = 4 + 4x + x2 + -1x2
10 + 2x = 4 + 4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
10 + 2x = 4 + 4x + 0
10 + 2x = 4 + 4x

Solving
10 + 2x = 4 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
10 + 2x + -4x = 4 + 4x + -4x

Combine like terms: 2x + -4x = -2x
10 + -2x = 4 + 4x + -4x

Combine like terms: 4x + -4x = 0
10 + -2x = 4 + 0
10 + -2x = 4

Add '-10' to each side of the equation.
10 + -10 + -2x = 4 + -10

Combine like terms: 10 + -10 = 0
0 + -2x = 4 + -10
-2x = 4 + -10

Combine like terms: 4 + -10 = -6
-2x = -6

Divide each side by '-2'.
x = 3

Simplifying
x = 3

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