(x+3)*2-6=(x+1)*(x+1)-1-x*x

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Solution for (x+3)*2-6=(x+1)*(x+1)-1-x*x equation: 


Simplifying
(x + 3) * 2 + -6 = (x + 1)(x + 1) + -1 + -1x * x

Reorder the terms:
(3 + x) * 2 + -6 = (x + 1)(x + 1) + -1 + -1x * x

Reorder the terms for easier multiplication:
2(3 + x) + -6 = (x + 1)(x + 1) + -1 + -1x * x
(3 * 2 + x * 2) + -6 = (x + 1)(x + 1) + -1 + -1x * x
(6 + 2x) + -6 = (x + 1)(x + 1) + -1 + -1x * x

Reorder the terms:
6 + -6 + 2x = (x + 1)(x + 1) + -1 + -1x * x

Combine like terms: 6 + -6 = 0
0 + 2x = (x + 1)(x + 1) + -1 + -1x * x
2x = (x + 1)(x + 1) + -1 + -1x * x

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

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

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

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

Multiply x * x
2x = 1 + 2x + x2 + -1 + -1x2

Reorder the terms:
2x = 1 + -1 + 2x + x2 + -1x2

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

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

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

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

Combine like terms: 2x + -2x = 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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