(x+3)(x+3)=22+(x+1)(x-1)

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Solution for (x+3)(x+3)=22+(x+1)(x-1) equation: 


Simplifying
(x + 3)(x + 3) = 22 + (x + 1)(x + -1)

Reorder the terms:
(3 + x)(x + 3) = 22 + (x + 1)(x + -1)

Reorder the terms:
(3 + x)(3 + x) = 22 + (x + 1)(x + -1)

Multiply (3 + x) * (3 + x)
(3(3 + x) + x(3 + x)) = 22 + (x + 1)(x + -1)
((3 * 3 + x * 3) + x(3 + x)) = 22 + (x + 1)(x + -1)
((9 + 3x) + x(3 + x)) = 22 + (x + 1)(x + -1)
(9 + 3x + (3 * x + x * x)) = 22 + (x + 1)(x + -1)
(9 + 3x + (3x + x2)) = 22 + (x + 1)(x + -1)

Combine like terms: 3x + 3x = 6x
(9 + 6x + x2) = 22 + (x + 1)(x + -1)

Reorder the terms:
9 + 6x + x2 = 22 + (1 + x)(x + -1)

Reorder the terms:
9 + 6x + x2 = 22 + (1 + x)(-1 + x)

Multiply (1 + x) * (-1 + x)
9 + 6x + x2 = 22 + (1(-1 + x) + x(-1 + x))
9 + 6x + x2 = 22 + ((-1 * 1 + x * 1) + x(-1 + x))
9 + 6x + x2 = 22 + ((-1 + 1x) + x(-1 + x))
9 + 6x + x2 = 22 + (-1 + 1x + (-1 * x + x * x))
9 + 6x + x2 = 22 + (-1 + 1x + (-1x + x2))

Combine like terms: 1x + -1x = 0
9 + 6x + x2 = 22 + (-1 + 0 + x2)
9 + 6x + x2 = 22 + (-1 + x2)

Combine like terms: 22 + -1 = 21
9 + 6x + x2 = 21 + x2

Add '-1x2' to each side of the equation.
9 + 6x + x2 + -1x2 = 21 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
9 + 6x + 0 = 21 + x2 + -1x2
9 + 6x = 21 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
9 + 6x = 21 + 0
9 + 6x = 21

Solving
9 + 6x = 21

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + 6x = 21 + -9

Combine like terms: 9 + -9 = 0
0 + 6x = 21 + -9
6x = 21 + -9

Combine like terms: 21 + -9 = 12
6x = 12

Divide each side by '6'.
x = 2

Simplifying
x = 2

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