13x=(4+x)*(4+x)-3x-(4-x)*(4-x)

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Solution for 13x=(4+x)*(4+x)-3x-(4-x)*(4-x) equation: 


Simplifying
13x = (4 + x)(4 + x) + -3x + -1(4 + -1x)(4 + -1x)

Multiply (4 + x) * (4 + x)
13x = (4(4 + x) + x(4 + x)) + -3x + -1(4 + -1x)(4 + -1x)
13x = ((4 * 4 + x * 4) + x(4 + x)) + -3x + -1(4 + -1x)(4 + -1x)
13x = ((16 + 4x) + x(4 + x)) + -3x + -1(4 + -1x)(4 + -1x)
13x = (16 + 4x + (4 * x + x * x)) + -3x + -1(4 + -1x)(4 + -1x)
13x = (16 + 4x + (4x + x2)) + -3x + -1(4 + -1x)(4 + -1x)

Combine like terms: 4x + 4x = 8x
13x = (16 + 8x + x2) + -3x + -1(4 + -1x)(4 + -1x)

Multiply (4 + -1x) * (4 + -1x)
13x = 16 + 8x + x2 + -3x + -1(4(4 + -1x) + -1x * (4 + -1x))
13x = 16 + 8x + x2 + -3x + -1((4 * 4 + -1x * 4) + -1x * (4 + -1x))
13x = 16 + 8x + x2 + -3x + -1((16 + -4x) + -1x * (4 + -1x))
13x = 16 + 8x + x2 + -3x + -1(16 + -4x + (4 * -1x + -1x * -1x))
13x = 16 + 8x + x2 + -3x + -1(16 + -4x + (-4x + 1x2))

Combine like terms: -4x + -4x = -8x
13x = 16 + 8x + x2 + -3x + -1(16 + -8x + 1x2)
13x = 16 + 8x + x2 + -3x + (16 * -1 + -8x * -1 + 1x2 * -1)
13x = 16 + 8x + x2 + -3x + (-16 + 8x + -1x2)

Reorder the terms:
13x = 16 + -16 + 8x + -3x + 8x + x2 + -1x2

Combine like terms: 16 + -16 = 0
13x = 0 + 8x + -3x + 8x + x2 + -1x2
13x = 8x + -3x + 8x + x2 + -1x2

Combine like terms: 8x + -3x = 5x
13x = 5x + 8x + x2 + -1x2

Combine like terms: 5x + 8x = 13x
13x = 13x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
13x = 13x + 0
13x = 13x

Add '-13x' to each side of the equation.
13x + -13x = 13x + -13x

Combine like terms: 13x + -13x = 0
0 = 13x + -13x

Combine like terms: 13x + -13x = 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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