(3x+4)(4x-1)(x-4)=0

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Solution for (3x+4)(4x-1)(x-4)=0 equation:


Simplifying
(3x + 4)(4x + -1)(x + -4) = 0

Reorder the terms:
(4 + 3x)(4x + -1)(x + -4) = 0

Reorder the terms:
(4 + 3x)(-1 + 4x)(x + -4) = 0

Reorder the terms:
(4 + 3x)(-1 + 4x)(-4 + x) = 0

Multiply (4 + 3x) * (-1 + 4x)
(4(-1 + 4x) + 3x * (-1 + 4x))(-4 + x) = 0
((-1 * 4 + 4x * 4) + 3x * (-1 + 4x))(-4 + x) = 0
((-4 + 16x) + 3x * (-1 + 4x))(-4 + x) = 0
(-4 + 16x + (-1 * 3x + 4x * 3x))(-4 + x) = 0
(-4 + 16x + (-3x + 12x2))(-4 + x) = 0

Combine like terms: 16x + -3x = 13x
(-4 + 13x + 12x2)(-4 + x) = 0

Multiply (-4 + 13x + 12x2) * (-4 + x)
(-4(-4 + x) + 13x * (-4 + x) + 12x2 * (-4 + x)) = 0
((-4 * -4 + x * -4) + 13x * (-4 + x) + 12x2 * (-4 + x)) = 0
((16 + -4x) + 13x * (-4 + x) + 12x2 * (-4 + x)) = 0
(16 + -4x + (-4 * 13x + x * 13x) + 12x2 * (-4 + x)) = 0
(16 + -4x + (-52x + 13x2) + 12x2 * (-4 + x)) = 0
(16 + -4x + -52x + 13x2 + (-4 * 12x2 + x * 12x2)) = 0
(16 + -4x + -52x + 13x2 + (-48x2 + 12x3)) = 0

Combine like terms: -4x + -52x = -56x
(16 + -56x + 13x2 + -48x2 + 12x3) = 0

Combine like terms: 13x2 + -48x2 = -35x2
(16 + -56x + -35x2 + 12x3) = 0

Solving
16 + -56x + -35x2 + 12x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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