(6-x)(x-1)(x*-2x+2)=0

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Solution for (6-x)(x-1)(x*-2x+2)=0 equation:


Simplifying
(6 + -1x)(x + -1)(x * -2x + 2) = 0

Reorder the terms:
(6 + -1x)(-1 + x)(x * -2x + 2) = 0

Reorder the terms for easier multiplication:
(6 + -1x)(-1 + x)(-2x * x + 2) = 0

Multiply x * x
(6 + -1x)(-1 + x)(-2x2 + 2) = 0

Reorder the terms:
(6 + -1x)(-1 + x)(2 + -2x2) = 0

Multiply (6 + -1x) * (-1 + x)
(6(-1 + x) + -1x * (-1 + x))(2 + -2x2) = 0
((-1 * 6 + x * 6) + -1x * (-1 + x))(2 + -2x2) = 0
((-6 + 6x) + -1x * (-1 + x))(2 + -2x2) = 0
(-6 + 6x + (-1 * -1x + x * -1x))(2 + -2x2) = 0
(-6 + 6x + (1x + -1x2))(2 + -2x2) = 0

Combine like terms: 6x + 1x = 7x
(-6 + 7x + -1x2)(2 + -2x2) = 0

Multiply (-6 + 7x + -1x2) * (2 + -2x2)
(-6(2 + -2x2) + 7x * (2 + -2x2) + -1x2 * (2 + -2x2)) = 0
((2 * -6 + -2x2 * -6) + 7x * (2 + -2x2) + -1x2 * (2 + -2x2)) = 0
((-12 + 12x2) + 7x * (2 + -2x2) + -1x2 * (2 + -2x2)) = 0
(-12 + 12x2 + (2 * 7x + -2x2 * 7x) + -1x2 * (2 + -2x2)) = 0
(-12 + 12x2 + (14x + -14x3) + -1x2 * (2 + -2x2)) = 0
(-12 + 12x2 + 14x + -14x3 + (2 * -1x2 + -2x2 * -1x2)) = 0
(-12 + 12x2 + 14x + -14x3 + (-2x2 + 2x4)) = 0

Reorder the terms:
(-12 + 14x + 12x2 + -2x2 + -14x3 + 2x4) = 0

Combine like terms: 12x2 + -2x2 = 10x2
(-12 + 14x + 10x2 + -14x3 + 2x4) = 0

Solving
-12 + 14x + 10x2 + -14x3 + 2x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-6 + 7x + 5x2 + -7x3 + x4) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-6 + 7x + 5x2 + -7x3 + x4)' equal to zero and attempt to solve:

Simplifying
-6 + 7x + 5x2 + -7x3 + x4 = 0

Solving
-6 + 7x + 5x2 + -7x3 + x4 = 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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