(x-4)(x-1)(x+4)=0

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Solution for (x-4)(x-1)(x+4)=0 equation:


Simplifying
(x + -4)(x + -1)(x + 4) = 0

Reorder the terms:
(-4 + x)(x + -1)(x + 4) = 0

Reorder the terms:
(-4 + x)(-1 + x)(x + 4) = 0

Reorder the terms:
(-4 + x)(-1 + x)(4 + x) = 0

Multiply (-4 + x) * (-1 + x)
(-4(-1 + x) + x(-1 + x))(4 + x) = 0
((-1 * -4 + x * -4) + x(-1 + x))(4 + x) = 0
((4 + -4x) + x(-1 + x))(4 + x) = 0
(4 + -4x + (-1 * x + x * x))(4 + x) = 0
(4 + -4x + (-1x + x2))(4 + x) = 0

Combine like terms: -4x + -1x = -5x
(4 + -5x + x2)(4 + x) = 0

Multiply (4 + -5x + x2) * (4 + x)
(4(4 + x) + -5x * (4 + x) + x2(4 + x)) = 0
((4 * 4 + x * 4) + -5x * (4 + x) + x2(4 + x)) = 0
((16 + 4x) + -5x * (4 + x) + x2(4 + x)) = 0
(16 + 4x + (4 * -5x + x * -5x) + x2(4 + x)) = 0
(16 + 4x + (-20x + -5x2) + x2(4 + x)) = 0
(16 + 4x + -20x + -5x2 + (4 * x2 + x * x2)) = 0
(16 + 4x + -20x + -5x2 + (4x2 + x3)) = 0

Combine like terms: 4x + -20x = -16x
(16 + -16x + -5x2 + 4x2 + x3) = 0

Combine like terms: -5x2 + 4x2 = -1x2
(16 + -16x + -1x2 + x3) = 0

Solving
16 + -16x + -1x2 + x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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