768=x(x+4)(16-x)

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Solution for 768=x(x+4)(16-x) equation:


Simplifying
768 = x(x + 4)(16 + -1x)

Reorder the terms:
768 = x(4 + x)(16 + -1x)

Multiply (4 + x) * (16 + -1x)
768 = x(4(16 + -1x) + x(16 + -1x))
768 = x((16 * 4 + -1x * 4) + x(16 + -1x))
768 = x((64 + -4x) + x(16 + -1x))
768 = x(64 + -4x + (16 * x + -1x * x))
768 = x(64 + -4x + (16x + -1x2))

Combine like terms: -4x + 16x = 12x
768 = x(64 + 12x + -1x2)
768 = (64 * x + 12x * x + -1x2 * x)
768 = (64x + 12x2 + -1x3)

Solving
768 = 64x + 12x2 + -1x3

Solving for variable 'x'.

Reorder the terms:
768 + -64x + -12x2 + x3 = 64x + -64x + 12x2 + -12x2 + -1x3 + x3

Combine like terms: 64x + -64x = 0
768 + -64x + -12x2 + x3 = 0 + 12x2 + -12x2 + -1x3 + x3
768 + -64x + -12x2 + x3 = 12x2 + -12x2 + -1x3 + x3

Combine like terms: 12x2 + -12x2 = 0
768 + -64x + -12x2 + x3 = 0 + -1x3 + x3
768 + -64x + -12x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
768 + -64x + -12x2 + x3 = 0

The solution to this equation could not be determined.

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