x^2+16x+64=(x+8)(x+8)

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Solution for x^2+16x+64=(x+8)(x+8) equation:


Simplifying
x2 + 16x + 64 = (x + 8)(x + 8)

Reorder the terms:
64 + 16x + x2 = (x + 8)(x + 8)

Reorder the terms:
64 + 16x + x2 = (8 + x)(x + 8)

Reorder the terms:
64 + 16x + x2 = (8 + x)(8 + x)

Multiply (8 + x) * (8 + x)
64 + 16x + x2 = (8(8 + x) + x(8 + x))
64 + 16x + x2 = ((8 * 8 + x * 8) + x(8 + x))
64 + 16x + x2 = ((64 + 8x) + x(8 + x))
64 + 16x + x2 = (64 + 8x + (8 * x + x * x))
64 + 16x + x2 = (64 + 8x + (8x + x2))

Combine like terms: 8x + 8x = 16x
64 + 16x + x2 = (64 + 16x + x2)

Add '-64' to each side of the equation.
64 + 16x + -64 + x2 = 64 + 16x + -64 + x2

Reorder the terms:
64 + -64 + 16x + x2 = 64 + 16x + -64 + x2

Combine like terms: 64 + -64 = 0
0 + 16x + x2 = 64 + 16x + -64 + x2
16x + x2 = 64 + 16x + -64 + x2

Reorder the terms:
16x + x2 = 64 + -64 + 16x + x2

Combine like terms: 64 + -64 = 0
16x + x2 = 0 + 16x + x2
16x + x2 = 16x + x2

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

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

Combine like terms: 16x + -16x = 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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