384=x(x+3)(x-5)

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Solution for 384=x(x+3)(x-5) equation:


Simplifying
384 = x(x + 3)(x + -5)

Reorder the terms:
384 = x(3 + x)(x + -5)

Reorder the terms:
384 = x(3 + x)(-5 + x)

Multiply (3 + x) * (-5 + x)
384 = x(3(-5 + x) + x(-5 + x))
384 = x((-5 * 3 + x * 3) + x(-5 + x))
384 = x((-15 + 3x) + x(-5 + x))
384 = x(-15 + 3x + (-5 * x + x * x))
384 = x(-15 + 3x + (-5x + x2))

Combine like terms: 3x + -5x = -2x
384 = x(-15 + -2x + x2)
384 = (-15 * x + -2x * x + x2 * x)
384 = (-15x + -2x2 + x3)

Solving
384 = -15x + -2x2 + x3

Solving for variable 'x'.

Reorder the terms:
384 + 15x + 2x2 + -1x3 = -15x + 15x + -2x2 + 2x2 + x3 + -1x3

Combine like terms: -15x + 15x = 0
384 + 15x + 2x2 + -1x3 = 0 + -2x2 + 2x2 + x3 + -1x3
384 + 15x + 2x2 + -1x3 = -2x2 + 2x2 + x3 + -1x3

Combine like terms: -2x2 + 2x2 = 0
384 + 15x + 2x2 + -1x3 = 0 + x3 + -1x3
384 + 15x + 2x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
384 + 15x + 2x2 + -1x3 = 0

The solution to this equation could not be determined.

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