(6x-4)(x-1)(x*x+x+1)=0

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Solution for (6x-4)(x-1)(x*x+x+1)=0 equation:


Simplifying
(6x + -4)(x + -1)(x * x + x + 1) = 0

Reorder the terms:
(-4 + 6x)(x + -1)(x * x + x + 1) = 0

Reorder the terms:
(-4 + 6x)(-1 + x)(x * x + x + 1) = 0

Multiply x * x
(-4 + 6x)(-1 + x)(x2 + x + 1) = 0

Reorder the terms:
(-4 + 6x)(-1 + x)(1 + x + x2) = 0

Multiply (-4 + 6x) * (-1 + x)
(-4(-1 + x) + 6x * (-1 + x))(1 + x + x2) = 0
((-1 * -4 + x * -4) + 6x * (-1 + x))(1 + x + x2) = 0
((4 + -4x) + 6x * (-1 + x))(1 + x + x2) = 0
(4 + -4x + (-1 * 6x + x * 6x))(1 + x + x2) = 0
(4 + -4x + (-6x + 6x2))(1 + x + x2) = 0

Combine like terms: -4x + -6x = -10x
(4 + -10x + 6x2)(1 + x + x2) = 0

Multiply (4 + -10x + 6x2) * (1 + x + x2)
(4(1 + x + x2) + -10x * (1 + x + x2) + 6x2 * (1 + x + x2)) = 0
((1 * 4 + x * 4 + x2 * 4) + -10x * (1 + x + x2) + 6x2 * (1 + x + x2)) = 0
((4 + 4x + 4x2) + -10x * (1 + x + x2) + 6x2 * (1 + x + x2)) = 0
(4 + 4x + 4x2 + (1 * -10x + x * -10x + x2 * -10x) + 6x2 * (1 + x + x2)) = 0
(4 + 4x + 4x2 + (-10x + -10x2 + -10x3) + 6x2 * (1 + x + x2)) = 0
(4 + 4x + 4x2 + -10x + -10x2 + -10x3 + (1 * 6x2 + x * 6x2 + x2 * 6x2)) = 0
(4 + 4x + 4x2 + -10x + -10x2 + -10x3 + (6x2 + 6x3 + 6x4)) = 0

Reorder the terms:
(4 + 4x + -10x + 4x2 + -10x2 + 6x2 + -10x3 + 6x3 + 6x4) = 0

Combine like terms: 4x + -10x = -6x
(4 + -6x + 4x2 + -10x2 + 6x2 + -10x3 + 6x3 + 6x4) = 0

Combine like terms: 4x2 + -10x2 = -6x2
(4 + -6x + -6x2 + 6x2 + -10x3 + 6x3 + 6x4) = 0

Combine like terms: -6x2 + 6x2 = 0
(4 + -6x + 0 + -10x3 + 6x3 + 6x4) = 0
(4 + -6x + -10x3 + 6x3 + 6x4) = 0

Combine like terms: -10x3 + 6x3 = -4x3
(4 + -6x + -4x3 + 6x4) = 0

Solving
4 + -6x + -4x3 + 6x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(2 + -3x + -2x3 + 3x4) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(2 + -3x + -2x3 + 3x4)' equal to zero and attempt to solve:

Simplifying
2 + -3x + -2x3 + 3x4 = 0

Solving
2 + -3x + -2x3 + 3x4 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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