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

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


Simplifying
y2 = 16 + [(x + -4)(x + 4)]

Reorder the terms:
y2 = 16 + [(-4 + x)(x + 4)]

Reorder the terms:
y2 = 16 + [(-4 + x)(4 + x)]

Multiply (-4 + x) * (4 + x)
y2 = 16 + [(-4(4 + x) + x(4 + x))]
y2 = 16 + [((4 * -4 + x * -4) + x(4 + x))]
y2 = 16 + [((-16 + -4x) + x(4 + x))]
y2 = 16 + [(-16 + -4x + (4 * x + x * x))]
y2 = 16 + [(-16 + -4x + (4x + x2))]

Combine like terms: -4x + 4x = 0
y2 = 16 + [(-16 + 0 + x2)]
y2 = 16 + [(-16 + x2)]
y2 = 16 + [-16 + x2]

Remove brackets around [-16 + x2]
y2 = 16 + -16 + x2

Combine like terms: 16 + -16 = 0
y2 = 0 + x2
y2 = x2

Solving
y2 = x2

Solving for variable 'y'.

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

Simplifying
y2 = x2

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

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