x^2+8x+16=(x+A)(x+B)

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


Simplifying
x2 + 8x + 16 = (x + A)(x + B)

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

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

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

Multiply (A + x) * (B + x)
16 + 8x + x2 = (A(B + x) + x(B + x))
16 + 8x + x2 = ((B * A + x * A) + x(B + x))
16 + 8x + x2 = ((AB + xA) + x(B + x))
16 + 8x + x2 = (AB + xA + (B * x + x * x))
16 + 8x + x2 = (AB + xA + (xB + x2))
16 + 8x + x2 = (AB + xA + xB + x2)

Add '-1x2' to each side of the equation.
16 + 8x + x2 + -1x2 = AB + xA + xB + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
16 + 8x + 0 = AB + xA + xB + x2 + -1x2
16 + 8x = AB + xA + xB + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
16 + 8x = AB + xA + xB + 0
16 + 8x = AB + xA + xB

Solving
16 + 8x = AB + xA + xB

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1xA' to each side of the equation.
16 + 8x + -1xA = AB + xA + -1xA + xB

Combine like terms: xA + -1xA = 0
16 + 8x + -1xA = AB + 0 + xB
16 + 8x + -1xA = AB + xB

Add '-1xB' to each side of the equation.
16 + 8x + -1xA + -1xB = AB + xB + -1xB

Combine like terms: xB + -1xB = 0
16 + 8x + -1xA + -1xB = AB + 0
16 + 8x + -1xA + -1xB = AB

Add '-16' to each side of the equation.
16 + 8x + -1xA + -16 + -1xB = -16 + AB

Reorder the terms:
16 + -16 + 8x + -1xA + -1xB = -16 + AB

Combine like terms: 16 + -16 = 0
0 + 8x + -1xA + -1xB = -16 + AB
8x + -1xA + -1xB = -16 + AB

Reorder the terms:
16 + -1AB + 8x + -1xA + -1xB = -16 + AB + 16 + -1AB

Reorder the terms:
16 + -1AB + 8x + -1xA + -1xB = -16 + 16 + AB + -1AB

Combine like terms: -16 + 16 = 0
16 + -1AB + 8x + -1xA + -1xB = 0 + AB + -1AB
16 + -1AB + 8x + -1xA + -1xB = AB + -1AB

Combine like terms: AB + -1AB = 0
16 + -1AB + 8x + -1xA + -1xB = 0

The solution to this equation could not be determined.

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