6(x-2)(x-6)(x+9)=0

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Solution for 6(x-2)(x-6)(x+9)=0 equation: 


Simplifying
6(x + -2)(x + -6)(x + 9) = 0

Reorder the terms:
6(-2 + x)(x + -6)(x + 9) = 0

Reorder the terms:
6(-2 + x)(-6 + x)(x + 9) = 0

Reorder the terms:
6(-2 + x)(-6 + x)(9 + x) = 0

Multiply (-2 + x) * (-6 + x)
6(-2(-6 + x) + x(-6 + x))(9 + x) = 0
6((-6 * -2 + x * -2) + x(-6 + x))(9 + x) = 0
6((12 + -2x) + x(-6 + x))(9 + x) = 0
6(12 + -2x + (-6 * x + x * x))(9 + x) = 0
6(12 + -2x + (-6x + x2))(9 + x) = 0

Combine like terms: -2x + -6x = -8x
6(12 + -8x + x2)(9 + x) = 0

Multiply (12 + -8x + x2) * (9 + x)
6(12(9 + x) + -8x * (9 + x) + x2(9 + x)) = 0
6((9 * 12 + x * 12) + -8x * (9 + x) + x2(9 + x)) = 0
6((108 + 12x) + -8x * (9 + x) + x2(9 + x)) = 0
6(108 + 12x + (9 * -8x + x * -8x) + x2(9 + x)) = 0
6(108 + 12x + (-72x + -8x2) + x2(9 + x)) = 0
6(108 + 12x + -72x + -8x2 + (9 * x2 + x * x2)) = 0
6(108 + 12x + -72x + -8x2 + (9x2 + x3)) = 0

Combine like terms: 12x + -72x = -60x
6(108 + -60x + -8x2 + 9x2 + x3) = 0

Combine like terms: -8x2 + 9x2 = 1x2
6(108 + -60x + 1x2 + x3) = 0
(108 * 6 + -60x * 6 + 1x2 * 6 + x3 * 6) = 0
(648 + -360x + 6x2 + 6x3) = 0

Solving
648 + -360x + 6x2 + 6x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(108 + -60x + x2 + x3) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(108 + -60x + x2 + x3)' equal to zero and attempt to solve:

Simplifying
108 + -60x + x2 + x3 = 0

Solving
108 + -60x + x2 + x3 = 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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