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

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


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

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

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

Multiply (1 + 2x) * (1 + 2x)
(1(1 + 2x) + 2x * (1 + 2x)) = (2x + 1)(2x + 1)
((1 * 1 + 2x * 1) + 2x * (1 + 2x)) = (2x + 1)(2x + 1)
((1 + 2x) + 2x * (1 + 2x)) = (2x + 1)(2x + 1)
(1 + 2x + (1 * 2x + 2x * 2x)) = (2x + 1)(2x + 1)
(1 + 2x + (2x + 4x2)) = (2x + 1)(2x + 1)

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

Reorder the terms:
1 + 4x + 4x2 = (1 + 2x)(2x + 1)

Reorder the terms:
1 + 4x + 4x2 = (1 + 2x)(1 + 2x)

Multiply (1 + 2x) * (1 + 2x)
1 + 4x + 4x2 = (1(1 + 2x) + 2x * (1 + 2x))
1 + 4x + 4x2 = ((1 * 1 + 2x * 1) + 2x * (1 + 2x))
1 + 4x + 4x2 = ((1 + 2x) + 2x * (1 + 2x))
1 + 4x + 4x2 = (1 + 2x + (1 * 2x + 2x * 2x))
1 + 4x + 4x2 = (1 + 2x + (2x + 4x2))

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

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

Reorder the terms:
1 + -1 + 4x + 4x2 = 1 + 4x + -1 + 4x2

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

Reorder the terms:
4x + 4x2 = 1 + -1 + 4x + 4x2

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

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

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

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

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

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

Combine like terms: 4x2 + -4x2 = 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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