x^2+8x+16=(x+4)(x+4)

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Solution for x^2+8x+16=(x+4)(x+4) equation:


Simplifying
x2 + 8x + 16 = (x + 4)(x + 4)

Reorder the terms:
16 + 8x + x2 = (x + 4)(x + 4)

Reorder the terms:
16 + 8x + x2 = (4 + x)(x + 4)

Reorder the terms:
16 + 8x + x2 = (4 + x)(4 + x)

Multiply (4 + x) * (4 + x)
16 + 8x + x2 = (4(4 + x) + x(4 + x))
16 + 8x + x2 = ((4 * 4 + x * 4) + x(4 + x))
16 + 8x + x2 = ((16 + 4x) + x(4 + x))
16 + 8x + x2 = (16 + 4x + (4 * x + x * x))
16 + 8x + x2 = (16 + 4x + (4x + x2))

Combine like terms: 4x + 4x = 8x
16 + 8x + x2 = (16 + 8x + x2)

Add '-16' to each side of the equation.
16 + 8x + -16 + x2 = 16 + 8x + -16 + x2

Reorder the terms:
16 + -16 + 8x + x2 = 16 + 8x + -16 + x2

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

Reorder the terms:
8x + x2 = 16 + -16 + 8x + x2

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

Add '-8x' to each side of the equation.
8x + -8x + x2 = 8x + -8x + x2

Combine like terms: 8x + -8x = 0
0 + x2 = 8x + -8x + x2
x2 = 8x + -8x + x2

Combine like terms: 8x + -8x = 0
x2 = 0 + x2
x2 = x2

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

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

Combine like terms: x2 + -1x2 = 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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