X^2=16+[(x+4)*(x-4)]

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Solution for X^2=16+[(x+4)*(x-4)] equation: 


Simplifying
X2 = 16 + [(x + 4)(x + -4)]

Reorder the terms:
X2 = 16 + [(4 + x)(x + -4)]

Reorder the terms:
X2 = 16 + [(4 + x)(-4 + x)]

Multiply (4 + x) * (-4 + x)
X2 = 16 + [(4(-4 + x) + x(-4 + x))]
X2 = 16 + [((-4 * 4 + x * 4) + x(-4 + x))]
X2 = 16 + [((-16 + 4x) + x(-4 + x))]
X2 = 16 + [(-16 + 4x + (-4 * x + x * x))]
X2 = 16 + [(-16 + 4x + (-4x + x2))]

Combine like terms: 4x + -4x = 0
X2 = 16 + [(-16 + 0 + x2)]
X2 = 16 + [(-16 + x2)]
X2 = 16 + [-16 + x2]

Remove brackets around [-16 + x2]
X2 = 16 + -16 + x2

Combine like terms: 16 + -16 = 0
X2 = 0 + x2
X2 = x2

Solving
X2 = x2

Solving for variable 'X'.

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

Simplifying
X2 = x2

Take the square root of each side:
X = {-1x, x}

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