(x+2)(x+2)+5=(x+3)(x+3)

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Solution for (x+2)(x+2)+5=(x+3)(x+3) equation: 


Simplifying
(x + 2)(x + 2) + 5 = (x + 3)(x + 3)

Reorder the terms:
(2 + x)(x + 2) + 5 = (x + 3)(x + 3)

Reorder the terms:
(2 + x)(2 + x) + 5 = (x + 3)(x + 3)

Multiply (2 + x) * (2 + x)
(2(2 + x) + x(2 + x)) + 5 = (x + 3)(x + 3)
((2 * 2 + x * 2) + x(2 + x)) + 5 = (x + 3)(x + 3)
((4 + 2x) + x(2 + x)) + 5 = (x + 3)(x + 3)
(4 + 2x + (2 * x + x * x)) + 5 = (x + 3)(x + 3)
(4 + 2x + (2x + x2)) + 5 = (x + 3)(x + 3)

Combine like terms: 2x + 2x = 4x
(4 + 4x + x2) + 5 = (x + 3)(x + 3)

Reorder the terms:
4 + 5 + 4x + x2 = (x + 3)(x + 3)

Combine like terms: 4 + 5 = 9
9 + 4x + x2 = (x + 3)(x + 3)

Reorder the terms:
9 + 4x + x2 = (3 + x)(x + 3)

Reorder the terms:
9 + 4x + x2 = (3 + x)(3 + x)

Multiply (3 + x) * (3 + x)
9 + 4x + x2 = (3(3 + x) + x(3 + x))
9 + 4x + x2 = ((3 * 3 + x * 3) + x(3 + x))
9 + 4x + x2 = ((9 + 3x) + x(3 + x))
9 + 4x + x2 = (9 + 3x + (3 * x + x * x))
9 + 4x + x2 = (9 + 3x + (3x + x2))

Combine like terms: 3x + 3x = 6x
9 + 4x + x2 = (9 + 6x + x2)

Add '-9' to each side of the equation.
9 + 4x + -9 + x2 = 9 + 6x + -9 + x2

Reorder the terms:
9 + -9 + 4x + x2 = 9 + 6x + -9 + x2

Combine like terms: 9 + -9 = 0
0 + 4x + x2 = 9 + 6x + -9 + x2
4x + x2 = 9 + 6x + -9 + x2

Reorder the terms:
4x + x2 = 9 + -9 + 6x + x2

Combine like terms: 9 + -9 = 0
4x + x2 = 0 + 6x + x2
4x + x2 = 6x + x2

Add '-1x2' to each side of the equation.
4x + x2 + -1x2 = 6x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
4x + 0 = 6x + x2 + -1x2
4x = 6x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
4x = 6x + 0
4x = 6x

Solving
4x = 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
4x + -6x = 6x + -6x

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

Combine like terms: 6x + -6x = 0
-2x = 0

Divide each side by '-2'.
x = 0

Simplifying
x = 0

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