(x-4)(2x+1)(3x-2)=0

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Solution for (x-4)(2x+1)(3x-2)=0 equation:


Simplifying
(x + -4)(2x + 1)(3x + -2) = 0

Reorder the terms:
(-4 + x)(2x + 1)(3x + -2) = 0

Reorder the terms:
(-4 + x)(1 + 2x)(3x + -2) = 0

Reorder the terms:
(-4 + x)(1 + 2x)(-2 + 3x) = 0

Multiply (-4 + x) * (1 + 2x)
(-4(1 + 2x) + x(1 + 2x))(-2 + 3x) = 0
((1 * -4 + 2x * -4) + x(1 + 2x))(-2 + 3x) = 0
((-4 + -8x) + x(1 + 2x))(-2 + 3x) = 0
(-4 + -8x + (1 * x + 2x * x))(-2 + 3x) = 0
(-4 + -8x + (1x + 2x2))(-2 + 3x) = 0

Combine like terms: -8x + 1x = -7x
(-4 + -7x + 2x2)(-2 + 3x) = 0

Multiply (-4 + -7x + 2x2) * (-2 + 3x)
(-4(-2 + 3x) + -7x * (-2 + 3x) + 2x2 * (-2 + 3x)) = 0
((-2 * -4 + 3x * -4) + -7x * (-2 + 3x) + 2x2 * (-2 + 3x)) = 0
((8 + -12x) + -7x * (-2 + 3x) + 2x2 * (-2 + 3x)) = 0
(8 + -12x + (-2 * -7x + 3x * -7x) + 2x2 * (-2 + 3x)) = 0
(8 + -12x + (14x + -21x2) + 2x2 * (-2 + 3x)) = 0
(8 + -12x + 14x + -21x2 + (-2 * 2x2 + 3x * 2x2)) = 0
(8 + -12x + 14x + -21x2 + (-4x2 + 6x3)) = 0

Combine like terms: -12x + 14x = 2x
(8 + 2x + -21x2 + -4x2 + 6x3) = 0

Combine like terms: -21x2 + -4x2 = -25x2
(8 + 2x + -25x2 + 6x3) = 0

Solving
8 + 2x + -25x2 + 6x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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